What is the Greatest Common Factor of 27272 and 27280?

Greatest common factor (GCF) of 27272 and 27280 is 8.

GCF(27272,27280) = 8

We will now calculate the prime factors of 27272 and 27280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27272 and 27280.

How to find the GCF of 27272 and 27280?

We will first find the prime factorization of 27272 and 27280. After we will calculate the factors of 27272 and 27280 and find the biggest common factor number .

Step-1: Prime Factorization of 27272

Prime factors of 27272 are 2, 7, 487. Prime factorization of 27272 in exponential form is:

27272 = 2³ × 7¹ × 487¹

Step-2: Prime Factorization of 27280

Prime factors of 27280 are 2, 5, 11, 31. Prime factorization of 27280 in exponential form is:

27280 = 2⁴ × 5¹ × 11¹ × 31¹

Step-3: Factors of 27272

List of positive integer factors of 27272 that divides 27272 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 487, 974, 1948, 3409, 3896, 6818, 13636

Step-4: Factors of 27280

List of positive integer factors of 27280 that divides 27272 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 40, 44, 55, 62, 80, 88, 110, 124, 155, 176, 220, 248, 310, 341, 440, 496, 620, 682, 880, 1240, 1364, 1705, 2480, 2728, 3410, 5456, 6820, 13640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27272 and 27280. The biggest common factor number is the GCF number.
So the greatest common factor 27272 and 27280 is 8.

Also check out the Least Common Multiple of 27272 and 27280