What is the Greatest Common Factor of 96938 and 96957?

Greatest common factor (GCF) of 96938 and 96957 is 19.

GCF(96938,96957) = 19

We will now calculate the prime factors of 96938 and 96957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96938 and 96957.

How to find the GCF of 96938 and 96957?

We will first find the prime factorization of 96938 and 96957. After we will calculate the factors of 96938 and 96957 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 96957

Prime factors of 96957 are 3, 7, 19. Prime factorization of 96957 in exponential form is:

96957 = 3⁶ × 7¹ × 19¹

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 96957

List of positive integer factors of 96957 that divides 96938 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 81, 133, 171, 189, 243, 399, 513, 567, 729, 1197, 1539, 1701, 3591, 4617, 5103, 10773, 13851, 32319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96938 and 96957. The biggest common factor number is the GCF number.
So the greatest common factor 96938 and 96957 is 19.

Also check out the Least Common Multiple of 96938 and 96957