What is the Greatest Common Factor of 27480 and 27486?

Greatest common factor (GCF) of 27480 and 27486 is 6.

GCF(27480,27486) = 6

We will now calculate the prime factors of 27480 and 27486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27480 and 27486.

How to find the GCF of 27480 and 27486?

We will first find the prime factorization of 27480 and 27486. After we will calculate the factors of 27480 and 27486 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 27486

Prime factors of 27486 are 2, 3, 509. Prime factorization of 27486 in exponential form is:

27486 = 2¹ × 3³ × 509¹

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 27486

List of positive integer factors of 27486 that divides 27480 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 509, 1018, 1527, 3054, 4581, 9162, 13743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27480 and 27486. The biggest common factor number is the GCF number.
So the greatest common factor 27480 and 27486 is 6.

Also check out the Least Common Multiple of 27480 and 27486