What is the Greatest Common Factor of 97929 and 97938?

Greatest common factor (GCF) of 97929 and 97938 is 9.

GCF(97929,97938) = 9

We will now calculate the prime factors of 97929 and 97938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97929 and 97938.

How to find the GCF of 97929 and 97938?

We will first find the prime factorization of 97929 and 97938. After we will calculate the factors of 97929 and 97938 and find the biggest common factor number .

Step-1: Prime Factorization of 97929

Prime factors of 97929 are 3, 13, 31. Prime factorization of 97929 in exponential form is:

97929 = 3⁵ × 13¹ × 31¹

Step-2: Prime Factorization of 97938

Prime factors of 97938 are 2, 3, 5441. Prime factorization of 97938 in exponential form is:

97938 = 2¹ × 3² × 5441¹

Step-3: Factors of 97929

List of positive integer factors of 97929 that divides 97929 without a remainder.

1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 243, 279, 351, 403, 837, 1053, 1209, 2511, 3159, 3627, 7533, 10881, 32643

Step-4: Factors of 97938

List of positive integer factors of 97938 that divides 97929 without a remainder.

1, 2, 3, 6, 9, 18, 5441, 10882, 16323, 32646, 48969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97929 and 97938. The biggest common factor number is the GCF number.
So the greatest common factor 97929 and 97938 is 9.

Also check out the Least Common Multiple of 97929 and 97938