What is the Greatest Common Factor of 15635 and 15645?

Greatest common factor (GCF) of 15635 and 15645 is 5.

GCF(15635,15645) = 5

We will now calculate the prime factors of 15635 and 15645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15635 and 15645.

How to find the GCF of 15635 and 15645?

We will first find the prime factorization of 15635 and 15645. After we will calculate the factors of 15635 and 15645 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 15645

Prime factors of 15645 are 3, 5, 7, 149. Prime factorization of 15645 in exponential form is:

15645 = 3¹ × 5¹ × 7¹ × 149¹

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 15645

List of positive integer factors of 15645 that divides 15635 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 149, 447, 745, 1043, 2235, 3129, 5215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15635 and 15645. The biggest common factor number is the GCF number.
So the greatest common factor 15635 and 15645 is 5.

Also check out the Least Common Multiple of 15635 and 15645