What is the Greatest Common Factor of 15205 and 15210?

Greatest common factor (GCF) of 15205 and 15210 is 5.

GCF(15205,15210) = 5

We will now calculate the prime factors of 15205 and 15210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15205 and 15210.

How to find the GCF of 15205 and 15210?

We will first find the prime factorization of 15205 and 15210. After we will calculate the factors of 15205 and 15210 and find the biggest common factor number .

Step-1: Prime Factorization of 15205

Prime factors of 15205 are 5, 3041. Prime factorization of 15205 in exponential form is:

15205 = 5¹ × 3041¹

Step-2: Prime Factorization of 15210

Prime factors of 15210 are 2, 3, 5, 13. Prime factorization of 15210 in exponential form is:

15210 = 2¹ × 3² × 5¹ × 13²

Step-3: Factors of 15205

List of positive integer factors of 15205 that divides 15205 without a remainder.

1, 5, 3041

Step-4: Factors of 15210

List of positive integer factors of 15210 that divides 15205 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15205 and 15210. The biggest common factor number is the GCF number.
So the greatest common factor 15205 and 15210 is 5.

Also check out the Least Common Multiple of 15205 and 15210