What is the Greatest Common Factor of 12495 and 12510?

Greatest common factor (GCF) of 12495 and 12510 is 15.

GCF(12495,12510) = 15

We will now calculate the prime factors of 12495 and 12510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12495 and 12510.

How to find the GCF of 12495 and 12510?

We will first find the prime factorization of 12495 and 12510. After we will calculate the factors of 12495 and 12510 and find the biggest common factor number .

Step-1: Prime Factorization of 12495

Prime factors of 12495 are 3, 5, 7, 17. Prime factorization of 12495 in exponential form is:

12495 = 3¹ × 5¹ × 7² × 17¹

Step-2: Prime Factorization of 12510

Prime factors of 12510 are 2, 3, 5, 139. Prime factorization of 12510 in exponential form is:

12510 = 2¹ × 3² × 5¹ × 139¹

Step-3: Factors of 12495

List of positive integer factors of 12495 that divides 12495 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 49, 51, 85, 105, 119, 147, 245, 255, 357, 595, 735, 833, 1785, 2499, 4165

Step-4: Factors of 12510

List of positive integer factors of 12510 that divides 12495 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 139, 278, 417, 695, 834, 1251, 1390, 2085, 2502, 4170, 6255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12495 and 12510. The biggest common factor number is the GCF number.
So the greatest common factor 12495 and 12510 is 15.

Also check out the Least Common Multiple of 12495 and 12510