What is the Greatest Common Factor of 12616 and 12635?

Greatest common factor (GCF) of 12616 and 12635 is 19.

GCF(12616,12635) = 19

We will now calculate the prime factors of 12616 and 12635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12616 and 12635.

How to find the GCF of 12616 and 12635?

We will first find the prime factorization of 12616 and 12635. After we will calculate the factors of 12616 and 12635 and find the biggest common factor number .

Step-1: Prime Factorization of 12616

Prime factors of 12616 are 2, 19, 83. Prime factorization of 12616 in exponential form is:

12616 = 2³ × 19¹ × 83¹

Step-2: 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-3: Factors of 12616

List of positive integer factors of 12616 that divides 12616 without a remainder.

1, 2, 4, 8, 19, 38, 76, 83, 152, 166, 332, 664, 1577, 3154, 6308

Step-4: Factors of 12635

List of positive integer factors of 12635 that divides 12616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12616 and 12635. The biggest common factor number is the GCF number.
So the greatest common factor 12616 and 12635 is 19.

Also check out the Least Common Multiple of 12616 and 12635