What is the Greatest Common Factor of 15210 and 15223?

Greatest common factor (GCF) of 15210 and 15223 is 13.

GCF(15210,15223) = 13

We will now calculate the prime factors of 15210 and 15223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15210 and 15223.

How to find the GCF of 15210 and 15223?

We will first find the prime factorization of 15210 and 15223. After we will calculate the factors of 15210 and 15223 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15223

Prime factors of 15223 are 13, 1171. Prime factorization of 15223 in exponential form is:

15223 = 13¹ × 1171¹

Step-3: Factors of 15210

List of positive integer factors of 15210 that divides 15210 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

Step-4: Factors of 15223

List of positive integer factors of 15223 that divides 15210 without a remainder.

1, 13, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15210 and 15223. The biggest common factor number is the GCF number.
So the greatest common factor 15210 and 15223 is 13.

Also check out the Least Common Multiple of 15210 and 15223