What is the Greatest Common Factor of 12465 and 12480?

Greatest common factor (GCF) of 12465 and 12480 is 15.

GCF(12465,12480) = 15

We will now calculate the prime factors of 12465 and 12480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12465 and 12480.

How to find the GCF of 12465 and 12480?

We will first find the prime factorization of 12465 and 12480. After we will calculate the factors of 12465 and 12480 and find the biggest common factor number .

Step-1: Prime Factorization of 12465

Prime factors of 12465 are 3, 5, 277. Prime factorization of 12465 in exponential form is:

12465 = 3² × 5¹ × 277¹

Step-2: 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-3: Factors of 12465

List of positive integer factors of 12465 that divides 12465 without a remainder.

1, 3, 5, 9, 15, 45, 277, 831, 1385, 2493, 4155

Step-4: Factors of 12480

List of positive integer factors of 12480 that divides 12465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12465 and 12480. The biggest common factor number is the GCF number.
So the greatest common factor 12465 and 12480 is 15.

Also check out the Least Common Multiple of 12465 and 12480