What is the Greatest Common Factor of 96938 and 96956?

Greatest common factor (GCF) of 96938 and 96956 is 2.

GCF(96938,96956) = 2

We will now calculate the prime factors of 96938 and 96956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96938 and 96956.

How to find the GCF of 96938 and 96956?

We will first find the prime factorization of 96938 and 96956. After we will calculate the factors of 96938 and 96956 and find the biggest common factor number .

Step-1: Prime Factorization of 96938

Prime factors of 96938 are 2, 19, 2551. Prime factorization of 96938 in exponential form is:

96938 = 2¹ × 19¹ × 2551¹

Step-2: Prime Factorization of 96956

Prime factors of 96956 are 2, 24239. Prime factorization of 96956 in exponential form is:

96956 = 2² × 24239¹

Step-3: Factors of 96938

List of positive integer factors of 96938 that divides 96938 without a remainder.

1, 2, 19, 38, 2551, 5102, 48469

Step-4: Factors of 96956

List of positive integer factors of 96956 that divides 96938 without a remainder.

1, 2, 4, 24239, 48478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96938 and 96956. The biggest common factor number is the GCF number.
So the greatest common factor 96938 and 96956 is 2.

Also check out the Least Common Multiple of 96938 and 96956