What is the Greatest Common Factor of 15637 and 15656?

Greatest common factor (GCF) of 15637 and 15656 is 19.

GCF(15637,15656) = 19

We will now calculate the prime factors of 15637 and 15656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15637 and 15656.

How to find the GCF of 15637 and 15656?

We will first find the prime factorization of 15637 and 15656. After we will calculate the factors of 15637 and 15656 and find the biggest common factor number .

Step-1: Prime Factorization of 15637

Prime factors of 15637 are 19, 823. Prime factorization of 15637 in exponential form is:

15637 = 19¹ × 823¹

Step-2: Prime Factorization of 15656

Prime factors of 15656 are 2, 19, 103. Prime factorization of 15656 in exponential form is:

15656 = 2³ × 19¹ × 103¹

Step-3: Factors of 15637

List of positive integer factors of 15637 that divides 15637 without a remainder.

1, 19, 823

Step-4: Factors of 15656

List of positive integer factors of 15656 that divides 15637 without a remainder.

1, 2, 4, 8, 19, 38, 76, 103, 152, 206, 412, 824, 1957, 3914, 7828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15637 and 15656. The biggest common factor number is the GCF number.
So the greatest common factor 15637 and 15656 is 19.

Also check out the Least Common Multiple of 15637 and 15656