What is the Greatest Common Factor of 12495 and 12509?

Greatest common factor (GCF) of 12495 and 12509 is 7.

GCF(12495,12509) = 7

We will now calculate the prime factors of 12495 and 12509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12495 and 12509.

How to find the GCF of 12495 and 12509?

We will first find the prime factorization of 12495 and 12509. After we will calculate the factors of 12495 and 12509 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 12509

Prime factors of 12509 are 7, 1787. Prime factorization of 12509 in exponential form is:

12509 = 7¹ × 1787¹

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 12509

List of positive integer factors of 12509 that divides 12495 without a remainder.

1, 7, 1787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12495 and 12509. The biggest common factor number is the GCF number.
So the greatest common factor 12495 and 12509 is 7.

Also check out the Least Common Multiple of 12495 and 12509