What is the Greatest Common Factor of 94624 and 94640?

Greatest common factor (GCF) of 94624 and 94640 is 16.

GCF(94624,94640) = 16

We will now calculate the prime factors of 94624 and 94640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94624 and 94640.

How to find the GCF of 94624 and 94640?

We will first find the prime factorization of 94624 and 94640. After we will calculate the factors of 94624 and 94640 and find the biggest common factor number .

Step-1: Prime Factorization of 94624

Prime factors of 94624 are 2, 2957. Prime factorization of 94624 in exponential form is:

94624 = 2⁵ × 2957¹

Step-2: Prime Factorization of 94640

Prime factors of 94640 are 2, 5, 7, 13. Prime factorization of 94640 in exponential form is:

94640 = 2⁴ × 5¹ × 7¹ × 13²

Step-3: Factors of 94624

List of positive integer factors of 94624 that divides 94624 without a remainder.

1, 2, 4, 8, 16, 32, 2957, 5914, 11828, 23656, 47312

Step-4: Factors of 94640

List of positive integer factors of 94640 that divides 94624 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 169, 182, 208, 260, 280, 338, 364, 455, 520, 560, 676, 728, 845, 910, 1040, 1183, 1352, 1456, 1690, 1820, 2366, 2704, 3380, 3640, 4732, 5915, 6760, 7280, 9464, 11830, 13520, 18928, 23660, 47320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94624 and 94640. The biggest common factor number is the GCF number.
So the greatest common factor 94624 and 94640 is 16.

Also check out the Least Common Multiple of 94624 and 94640