What is the Greatest Common Factor of 42938 and 42956?

Greatest common factor (GCF) of 42938 and 42956 is 2.

GCF(42938,42956) = 2

We will now calculate the prime factors of 42938 and 42956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42938 and 42956.

How to find the GCF of 42938 and 42956?

We will first find the prime factorization of 42938 and 42956. After we will calculate the factors of 42938 and 42956 and find the biggest common factor number .

Step-1: Prime Factorization of 42938

Prime factors of 42938 are 2, 7, 3067. Prime factorization of 42938 in exponential form is:

42938 = 2¹ × 7¹ × 3067¹

Step-2: Prime Factorization of 42956

Prime factors of 42956 are 2, 10739. Prime factorization of 42956 in exponential form is:

42956 = 2² × 10739¹

Step-3: Factors of 42938

List of positive integer factors of 42938 that divides 42938 without a remainder.

1, 2, 7, 14, 3067, 6134, 21469

Step-4: Factors of 42956

List of positive integer factors of 42956 that divides 42938 without a remainder.

1, 2, 4, 10739, 21478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42938 and 42956. The biggest common factor number is the GCF number.
So the greatest common factor 42938 and 42956 is 2.

Also check out the Least Common Multiple of 42938 and 42956