What is the Greatest Common Factor of 15635 and 15647?

Greatest common factor (GCF) of 15635 and 15647 is 1.

GCF(15635,15647) = 1

We will now calculate the prime factors of 15635 and 15647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15635 and 15647.

How to find the GCF of 15635 and 15647?

We will first find the prime factorization of 15635 and 15647. After we will calculate the factors of 15635 and 15647 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 15647

Prime factors of 15647 are 15647. Prime factorization of 15647 in exponential form is:

15647 = 15647¹

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 15647

List of positive integer factors of 15647 that divides 15635 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15635 and 15647. The biggest common factor number is the GCF number.
So the greatest common factor 15635 and 15647 is 1.

Also check out the Least Common Multiple of 15635 and 15647