What is the Greatest Common Factor of 12495 and 12505?

Greatest common factor (GCF) of 12495 and 12505 is 5.

GCF(12495,12505) = 5

We will now calculate the prime factors of 12495 and 12505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12495 and 12505.

How to find the GCF of 12495 and 12505?

We will first find the prime factorization of 12495 and 12505. After we will calculate the factors of 12495 and 12505 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 12505

Prime factors of 12505 are 5, 41, 61. Prime factorization of 12505 in exponential form is:

12505 = 5¹ × 41¹ × 61¹

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 12505

List of positive integer factors of 12505 that divides 12495 without a remainder.

1, 5, 41, 61, 205, 305, 2501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12495 and 12505. The biggest common factor number is the GCF number.
So the greatest common factor 12495 and 12505 is 5.

Also check out the Least Common Multiple of 12495 and 12505