What is the Greatest Common Factor of 94977 and 94992?

Greatest common factor (GCF) of 94977 and 94992 is 3.

GCF(94977,94992) = 3

We will now calculate the prime factors of 94977 and 94992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94977 and 94992.

How to find the GCF of 94977 and 94992?

We will first find the prime factorization of 94977 and 94992. After we will calculate the factors of 94977 and 94992 and find the biggest common factor number .

Step-1: Prime Factorization of 94977

Prime factors of 94977 are 3, 61, 173. Prime factorization of 94977 in exponential form is:

94977 = 3² × 61¹ × 173¹

Step-2: Prime Factorization of 94992

Prime factors of 94992 are 2, 3, 1979. Prime factorization of 94992 in exponential form is:

94992 = 2⁴ × 3¹ × 1979¹

Step-3: Factors of 94977

List of positive integer factors of 94977 that divides 94977 without a remainder.

1, 3, 9, 61, 173, 183, 519, 549, 1557, 10553, 31659

Step-4: Factors of 94992

List of positive integer factors of 94992 that divides 94977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1979, 3958, 5937, 7916, 11874, 15832, 23748, 31664, 47496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94977 and 94992. The biggest common factor number is the GCF number.
So the greatest common factor 94977 and 94992 is 3.

Also check out the Least Common Multiple of 94977 and 94992