What is the Greatest Common Factor of 92946 and 92961?

Greatest common factor (GCF) of 92946 and 92961 is 3.

GCF(92946,92961) = 3

We will now calculate the prime factors of 92946 and 92961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92946 and 92961.

How to find the GCF of 92946 and 92961?

We will first find the prime factorization of 92946 and 92961. After we will calculate the factors of 92946 and 92961 and find the biggest common factor number .

Step-1: Prime Factorization of 92946

Prime factors of 92946 are 2, 3, 7, 2213. Prime factorization of 92946 in exponential form is:

92946 = 2¹ × 3¹ × 7¹ × 2213¹

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 92946

List of positive integer factors of 92946 that divides 92946 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2213, 4426, 6639, 13278, 15491, 30982, 46473

Step-4: Factors of 92961

List of positive integer factors of 92961 that divides 92946 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 92946 and 92961. The biggest common factor number is the GCF number.
So the greatest common factor 92946 and 92961 is 3.

Also check out the Least Common Multiple of 92946 and 92961