What is the Greatest Common Factor of 92961 and 92979?

Greatest common factor (GCF) of 92961 and 92979 is 9.

GCF(92961,92979) = 9

We will now calculate the prime factors of 92961 and 92979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92961 and 92979.

How to find the GCF of 92961 and 92979?

We will first find the prime factorization of 92961 and 92979. After we will calculate the factors of 92961 and 92979 and find the biggest common factor number .

Step-1: Prime Factorization of 92961

Prime factors of 92961 are 3, 11, 313. Prime factorization of 92961 in exponential form is:

92961 = 3³ × 11¹ × 313¹

Step-2: Prime Factorization of 92979

Prime factors of 92979 are 3, 10331. Prime factorization of 92979 in exponential form is:

92979 = 3² × 10331¹

Step-3: Factors of 92961

List of positive integer factors of 92961 that divides 92961 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297, 313, 939, 2817, 3443, 8451, 10329, 30987

Step-4: Factors of 92979

List of positive integer factors of 92979 that divides 92961 without a remainder.

1, 3, 9, 10331, 30993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92961 and 92979. The biggest common factor number is the GCF number.
So the greatest common factor 92961 and 92979 is 9.

Also check out the Least Common Multiple of 92961 and 92979