What is the Greatest Common Factor of 94627 and 94640?

Greatest common factor (GCF) of 94627 and 94640 is 13.

GCF(94627,94640) = 13

We will now calculate the prime factors of 94627 and 94640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94627 and 94640.

How to find the GCF of 94627 and 94640?

We will first find the prime factorization of 94627 and 94640. After we will calculate the factors of 94627 and 94640 and find the biggest common factor number .

Step-1: Prime Factorization of 94627

Prime factors of 94627 are 13, 29, 251. Prime factorization of 94627 in exponential form is:

94627 = 13¹ × 29¹ × 251¹

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 94627

List of positive integer factors of 94627 that divides 94627 without a remainder.

1, 13, 29, 251, 377, 3263, 7279

Step-4: Factors of 94640

List of positive integer factors of 94640 that divides 94627 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 94627 and 94640. The biggest common factor number is the GCF number.
So the greatest common factor 94627 and 94640 is 13.

Also check out the Least Common Multiple of 94627 and 94640