What is the Greatest Common Factor of 12480 and 12495?

Greatest common factor (GCF) of 12480 and 12495 is 15.

GCF(12480,12495) = 15

We will now calculate the prime factors of 12480 and 12495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12495.

How to find the GCF of 12480 and 12495?

We will first find the prime factorization of 12480 and 12495. After we will calculate the factors of 12480 and 12495 and find the biggest common factor number .

Step-1: Prime Factorization of 12480

Prime factors of 12480 are 2, 3, 5, 13. Prime factorization of 12480 in exponential form is:

12480 = 2⁶ × 3¹ × 5¹ × 13¹

Step-2: 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-3: Factors of 12480

List of positive integer factors of 12480 that divides 12480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 130, 156, 160, 192, 195, 208, 240, 260, 312, 320, 390, 416, 480, 520, 624, 780, 832, 960, 1040, 1248, 1560, 2080, 2496, 3120, 4160, 6240

Step-4: Factors of 12495

List of positive integer factors of 12495 that divides 12480 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12495. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12495 is 15.

Also check out the Least Common Multiple of 12480 and 12495