What is the Greatest Common Factor of 42956 and 42968?

Greatest common factor (GCF) of 42956 and 42968 is 4.

GCF(42956,42968) = 4

We will now calculate the prime factors of 42956 and 42968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42956 and 42968.

How to find the GCF of 42956 and 42968?

We will first find the prime factorization of 42956 and 42968. After we will calculate the factors of 42956 and 42968 and find the biggest common factor number .

Step-1: Prime Factorization of 42956

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

42956 = 2² × 10739¹

Step-2: Prime Factorization of 42968

Prime factors of 42968 are 2, 41, 131. Prime factorization of 42968 in exponential form is:

42968 = 2³ × 41¹ × 131¹

Step-3: Factors of 42956

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

1, 2, 4, 10739, 21478

Step-4: Factors of 42968

List of positive integer factors of 42968 that divides 42956 without a remainder.

1, 2, 4, 8, 41, 82, 131, 164, 262, 328, 524, 1048, 5371, 10742, 21484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42956 and 42968. The biggest common factor number is the GCF number.
So the greatest common factor 42956 and 42968 is 4.

Also check out the Least Common Multiple of 42956 and 42968