What is the Greatest Common Factor of 12480 and 12492?

Greatest common factor (GCF) of 12480 and 12492 is 12.

GCF(12480,12492) = 12

We will now calculate the prime factors of 12480 and 12492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12480 and 12492.

How to find the GCF of 12480 and 12492?

We will first find the prime factorization of 12480 and 12492. After we will calculate the factors of 12480 and 12492 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 12492

Prime factors of 12492 are 2, 3, 347. Prime factorization of 12492 in exponential form is:

12492 = 2² × 3² × 347¹

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 12492

List of positive integer factors of 12492 that divides 12480 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 347, 694, 1041, 1388, 2082, 3123, 4164, 6246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12480 and 12492. The biggest common factor number is the GCF number.
So the greatest common factor 12480 and 12492 is 12.

Also check out the Least Common Multiple of 12480 and 12492