What is the Greatest Common Factor of 94948 and 94962?

Greatest common factor (GCF) of 94948 and 94962 is 14.

GCF(94948,94962) = 14

We will now calculate the prime factors of 94948 and 94962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94948 and 94962.

How to find the GCF of 94948 and 94962?

We will first find the prime factorization of 94948 and 94962. After we will calculate the factors of 94948 and 94962 and find the biggest common factor number .

Step-1: Prime Factorization of 94948

Prime factors of 94948 are 2, 7, 3391. Prime factorization of 94948 in exponential form is:

94948 = 2² × 7¹ × 3391¹

Step-2: 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-3: Factors of 94948

List of positive integer factors of 94948 that divides 94948 without a remainder.

1, 2, 4, 7, 14, 28, 3391, 6782, 13564, 23737, 47474

Step-4: Factors of 94962

List of positive integer factors of 94962 that divides 94948 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94948 and 94962. The biggest common factor number is the GCF number.
So the greatest common factor 94948 and 94962 is 14.

Also check out the Least Common Multiple of 94948 and 94962