What is the Greatest Common Factor of 15635 and 15650?

Greatest common factor (GCF) of 15635 and 15650 is 5.

GCF(15635,15650) = 5

We will now calculate the prime factors of 15635 and 15650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15635 and 15650.

How to find the GCF of 15635 and 15650?

We will first find the prime factorization of 15635 and 15650. After we will calculate the factors of 15635 and 15650 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 15650

Prime factors of 15650 are 2, 5, 313. Prime factorization of 15650 in exponential form is:

15650 = 2¹ × 5² × 313¹

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 15650

List of positive integer factors of 15650 that divides 15635 without a remainder.

1, 2, 5, 10, 25, 50, 313, 626, 1565, 3130, 7825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15635 and 15650. The biggest common factor number is the GCF number.
So the greatest common factor 15635 and 15650 is 5.

Also check out the Least Common Multiple of 15635 and 15650