What is the Greatest Common Factor of 92961 and 92972?

Greatest common factor (GCF) of 92961 and 92972 is 11.

GCF(92961,92972) = 11

We will now calculate the prime factors of 92961 and 92972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92961 and 92972.

How to find the GCF of 92961 and 92972?

We will first find the prime factorization of 92961 and 92972. After we will calculate the factors of 92961 and 92972 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 92972

Prime factors of 92972 are 2, 11, 2113. Prime factorization of 92972 in exponential form is:

92972 = 2² × 11¹ × 2113¹

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 92972

List of positive integer factors of 92972 that divides 92961 without a remainder.

1, 2, 4, 11, 22, 44, 2113, 4226, 8452, 23243, 46486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92961 and 92972. The biggest common factor number is the GCF number.
So the greatest common factor 92961 and 92972 is 11.

Also check out the Least Common Multiple of 92961 and 92972