What is the Greatest Common Factor of 96957 and 96969?

Greatest common factor (GCF) of 96957 and 96969 is 3.

GCF(96957,96969) = 3

We will now calculate the prime factors of 96957 and 96969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96957 and 96969.

How to find the GCF of 96957 and 96969?

We will first find the prime factorization of 96957 and 96969. After we will calculate the factors of 96957 and 96969 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96969

Prime factors of 96969 are 3, 32323. Prime factorization of 96969 in exponential form is:

96969 = 3¹ × 32323¹

Step-3: Factors of 96957

List of positive integer factors of 96957 that divides 96957 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

Step-4: Factors of 96969

List of positive integer factors of 96969 that divides 96957 without a remainder.

1, 3, 32323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96957 and 96969. The biggest common factor number is the GCF number.
So the greatest common factor 96957 and 96969 is 3.

Also check out the Least Common Multiple of 96957 and 96969