What is the Greatest Common Factor of 94945 and 94962?

Greatest common factor (GCF) of 94945 and 94962 is 17.

GCF(94945,94962) = 17

We will now calculate the prime factors of 94945 and 94962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94945 and 94962.

How to find the GCF of 94945 and 94962?

We will first find the prime factorization of 94945 and 94962. After we will calculate the factors of 94945 and 94962 and find the biggest common factor number .

Step-1: Prime Factorization of 94945

Prime factors of 94945 are 5, 17, 1117. Prime factorization of 94945 in exponential form is:

94945 = 5¹ × 17¹ × 1117¹

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 94945

List of positive integer factors of 94945 that divides 94945 without a remainder.

1, 5, 17, 85, 1117, 5585, 18989

Step-4: Factors of 94962

List of positive integer factors of 94962 that divides 94945 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 94945 and 94962. The biggest common factor number is the GCF number.
So the greatest common factor 94945 and 94962 is 17.

Also check out the Least Common Multiple of 94945 and 94962