What is the Greatest Common Factor of 27480 and 27492?

Greatest common factor (GCF) of 27480 and 27492 is 12.

GCF(27480,27492) = 12

We will now calculate the prime factors of 27480 and 27492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27480 and 27492.

How to find the GCF of 27480 and 27492?

We will first find the prime factorization of 27480 and 27492. After we will calculate the factors of 27480 and 27492 and find the biggest common factor number .

Step-1: Prime Factorization of 27480

Prime factors of 27480 are 2, 3, 5, 229. Prime factorization of 27480 in exponential form is:

27480 = 2³ × 3¹ × 5¹ × 229¹

Step-2: Prime Factorization of 27492

Prime factors of 27492 are 2, 3, 29, 79. Prime factorization of 27492 in exponential form is:

27492 = 2² × 3¹ × 29¹ × 79¹

Step-3: Factors of 27480

List of positive integer factors of 27480 that divides 27480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 229, 458, 687, 916, 1145, 1374, 1832, 2290, 2748, 3435, 4580, 5496, 6870, 9160, 13740

Step-4: Factors of 27492

List of positive integer factors of 27492 that divides 27480 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 79, 87, 116, 158, 174, 237, 316, 348, 474, 948, 2291, 4582, 6873, 9164, 13746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27480 and 27492. The biggest common factor number is the GCF number.
So the greatest common factor 27480 and 27492 is 12.

Also check out the Least Common Multiple of 27480 and 27492