What is the Greatest Common Factor of 92952 and 92961?

Greatest common factor (GCF) of 92952 and 92961 is 9.

GCF(92952,92961) = 9

We will now calculate the prime factors of 92952 and 92961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92952 and 92961.

How to find the GCF of 92952 and 92961?

We will first find the prime factorization of 92952 and 92961. After we will calculate the factors of 92952 and 92961 and find the biggest common factor number .

Step-1: Prime Factorization of 92952

Prime factors of 92952 are 2, 3, 1291. Prime factorization of 92952 in exponential form is:

92952 = 2³ × 3² × 1291¹

Step-2: 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-3: Factors of 92952

List of positive integer factors of 92952 that divides 92952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1291, 2582, 3873, 5164, 7746, 10328, 11619, 15492, 23238, 30984, 46476

Step-4: Factors of 92961

List of positive integer factors of 92961 that divides 92952 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92952 and 92961. The biggest common factor number is the GCF number.
So the greatest common factor 92952 and 92961 is 9.

Also check out the Least Common Multiple of 92952 and 92961