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## Greatest Common Factor of 30 and 42 GCF(30,42)

Greatest Common Factor of 30 and 42 GCF(30,42)

Greatest common factor (GCF) of 30 and 42 is 6.

GCF(30,42) = 6

We will now calculate the prime factors of 30 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 42.

## How to find the GCF of 30 and 42?

We will first find the prime factorization of 30 and 42. After we will calculate the factors of 30 and 42 and find the biggest common factor number .

Step-1: Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

Step-2: Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:

42 = 21 × 31 × 71

Step-3: Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

Step-4: Factors of 42

List of positive integer factors of 42 that divides 30 without a remainder.

1, 2, 3, 6, 7, 14, 21

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 42. The biggest common factor number is the GCF number.So the greatest common factor 30 and 42 is 6.

Also check out the Least Common Multiple of 30 and 42

Related Greatest Common Factors of 30

Related Greatest Common Factors of 42

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Greatest Common Factor of 30 and 45 – LCM and GCF Calculator – Greatest Common Factor of 30 and 45 = 15. Step 1: Find the prime factorization of 30. 30 = 2 x 3 x 5. Step 2: Find the prime factorization of 45. 45 = 3 x 3 x 5. Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF = 3 x 5 = 15. Step 4: Therefore, the greatest common factor of 30 and 45 is 15.To find the greatest common factor of two or more numbers, make a list of all of the factors of each number. For example, for the number 10, the factors are 1, 2, 5, and 10, and for the number 21, the factors are 1, 3, 7, and 21. Then, compare the list of factors to find the largest number that the two have in common.Find the prime factorization of 40. 40 = 2 × 2 × 2 × 5. Find the prime factorization of 42. 42 = 2 × 3 × 7. To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2. MathStep (Works offline) Download our mobile app and learn how to find GCF of upto four numbers in your own time: Android and iPhone/ iPad.

How to Find the Greatest Common Factor: 6 Steps (with – Free Greatest Common Factor (GCF) calculator – Find the gcf of two or more numbers step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.We think you wrote: gcfof8,30,42. This deals with the greatest common factor.It is possible to find the GCF by writing each number as the product of its prime factors. This shows which prime factors are shared by both numbers. 30 = 2 × 3 × 5 42 = 2 × 3 × 5×7

Find GCF of 40 and 42 | Math GCD/ HCF Answers – Greatest common factor (GCF) of 30 and 66 is 6.. GCF(30,66) = 6. We will now calculate the prime factors of 30 and 66, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 66.Find the GCF 30 , 42 , 60 , 48, , , Find the common factors for the numerical part: The factors for are . Tap for more steps… The factors for are all numbers between and , which divide evenly. Check numbers between and . Find the factor pairs of where . List the factors for . The factors for are .The Greatest Common Factor (GCF) for 18 and 42, notation CGF (18,42), is 6. Explanation: The factors of 18 are 1,2,3,6,9,18; The factors of 42 are 1,2,3,6,7,14,21,42. So, as we can see, the Greatest Common Factor or Divisor is 6, because it is the greatest number that divides evenly into all of them.