What is the Greatest Common Factor of 15635 and 15649?

Greatest common factor (GCF) of 15635 and 15649 is 1.

GCF(15635,15649) = 1

We will now calculate the prime factors of 15635 and 15649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15635 and 15649.

How to find the GCF of 15635 and 15649?

We will first find the prime factorization of 15635 and 15649. After we will calculate the factors of 15635 and 15649 and find the biggest common factor number .

Step-1: Prime Factorization of 15635

Prime factors of 15635 are 5, 53, 59. Prime factorization of 15635 in exponential form is:

15635 = 5¹ × 53¹ × 59¹

Step-2: Prime Factorization of 15649

Prime factors of 15649 are 15649. Prime factorization of 15649 in exponential form is:

15649 = 15649¹

Step-3: Factors of 15635

List of positive integer factors of 15635 that divides 15635 without a remainder.

1, 5, 53, 59, 265, 295, 3127

Step-4: Factors of 15649

List of positive integer factors of 15649 that divides 15635 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15635 and 15649. The biggest common factor number is the GCF number.
So the greatest common factor 15635 and 15649 is 1.

Also check out the Least Common Multiple of 15635 and 15649