What is the Greatest Common Factor of 94962 and 94977?

Greatest common factor (GCF) of 94962 and 94977 is 3.

GCF(94962,94977) = 3

We will now calculate the prime factors of 94962 and 94977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94962 and 94977.

How to find the GCF of 94962 and 94977?

We will first find the prime factorization of 94962 and 94977. After we will calculate the factors of 94962 and 94977 and find the biggest common factor number .

Step-1: Prime Factorization of 94962

Prime factors of 94962 are 2, 3, 7, 17, 19. Prime factorization of 94962 in exponential form is:

94962 = 2¹ × 3¹ × 7² × 17¹ × 19¹

Step-2: 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-3: Factors of 94962

List of positive integer factors of 94962 that divides 94962 without a remainder.

1, 2, 3, 6, 7, 14, 17, 19, 21, 34, 38, 42, 49, 51, 57, 98, 102, 114, 119, 133, 147, 238, 266, 294, 323, 357, 399, 646, 714, 798, 833, 931, 969, 1666, 1862, 1938, 2261, 2499, 2793, 4522, 4998, 5586, 6783, 13566, 15827, 31654, 47481

Step-4: Factors of 94977

List of positive integer factors of 94977 that divides 94962 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94962 and 94977. The biggest common factor number is the GCF number.
So the greatest common factor 94962 and 94977 is 3.

Also check out the Least Common Multiple of 94962 and 94977