What is the Greatest Common Factor of 12635 and 12640?

Greatest common factor (GCF) of 12635 and 12640 is 5.

GCF(12635,12640) = 5

We will now calculate the prime factors of 12635 and 12640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12635 and 12640.

How to find the GCF of 12635 and 12640?

We will first find the prime factorization of 12635 and 12640. After we will calculate the factors of 12635 and 12640 and find the biggest common factor number .

Step-1: Prime Factorization of 12635

Prime factors of 12635 are 5, 7, 19. Prime factorization of 12635 in exponential form is:

12635 = 5¹ × 7¹ × 19²

Step-2: Prime Factorization of 12640

Prime factors of 12640 are 2, 5, 79. Prime factorization of 12640 in exponential form is:

12640 = 2⁵ × 5¹ × 79¹

Step-3: Factors of 12635

List of positive integer factors of 12635 that divides 12635 without a remainder.

1, 5, 7, 19, 35, 95, 133, 361, 665, 1805, 2527

Step-4: Factors of 12640

List of positive integer factors of 12640 that divides 12635 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 79, 80, 158, 160, 316, 395, 632, 790, 1264, 1580, 2528, 3160, 6320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12635 and 12640. The biggest common factor number is the GCF number.
So the greatest common factor 12635 and 12640 is 5.

Also check out the Least Common Multiple of 12635 and 12640