What is the Greatest Common Factor of 94635 and 94640?

Greatest common factor (GCF) of 94635 and 94640 is 5.

GCF(94635,94640) = 5

We will now calculate the prime factors of 94635 and 94640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94635 and 94640.

How to find the GCF of 94635 and 94640?

We will first find the prime factorization of 94635 and 94640. After we will calculate the factors of 94635 and 94640 and find the biggest common factor number .

Step-1: Prime Factorization of 94635

Prime factors of 94635 are 3, 5, 701. Prime factorization of 94635 in exponential form is:

94635 = 3³ × 5¹ × 701¹

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 94635

List of positive integer factors of 94635 that divides 94635 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 701, 2103, 3505, 6309, 10515, 18927, 31545

Step-4: Factors of 94640

List of positive integer factors of 94640 that divides 94635 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 94635 and 94640. The biggest common factor number is the GCF number.
So the greatest common factor 94635 and 94640 is 5.

Also check out the Least Common Multiple of 94635 and 94640