What is the Greatest Common Factor of 97929 and 97942?

Greatest common factor (GCF) of 97929 and 97942 is 13.

GCF(97929,97942) = 13

We will now calculate the prime factors of 97929 and 97942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97929 and 97942.

How to find the GCF of 97929 and 97942?

We will first find the prime factorization of 97929 and 97942. After we will calculate the factors of 97929 and 97942 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 97942

Prime factors of 97942 are 2, 13, 3767. Prime factorization of 97942 in exponential form is:

97942 = 2¹ × 13¹ × 3767¹

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 97942

List of positive integer factors of 97942 that divides 97929 without a remainder.

1, 2, 13, 26, 3767, 7534, 48971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97929 and 97942. The biggest common factor number is the GCF number.
So the greatest common factor 97929 and 97942 is 13.

Also check out the Least Common Multiple of 97929 and 97942