What is the Greatest Common Factor of 27264 and 27277?

Greatest common factor (GCF) of 27264 and 27277 is 1.

GCF(27264,27277) = 1

We will now calculate the prime factors of 27264 and 27277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27264 and 27277.

How to find the GCF of 27264 and 27277?

We will first find the prime factorization of 27264 and 27277. After we will calculate the factors of 27264 and 27277 and find the biggest common factor number .

Step-1: Prime Factorization of 27264

Prime factors of 27264 are 2, 3, 71. Prime factorization of 27264 in exponential form is:

27264 = 2⁷ × 3¹ × 71¹

Step-2: Prime Factorization of 27277

Prime factors of 27277 are 27277. Prime factorization of 27277 in exponential form is:

27277 = 27277¹

Step-3: Factors of 27264

List of positive integer factors of 27264 that divides 27264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 128, 142, 192, 213, 284, 384, 426, 568, 852, 1136, 1704, 2272, 3408, 4544, 6816, 9088, 13632

Step-4: Factors of 27277

List of positive integer factors of 27277 that divides 27264 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27264 and 27277. The biggest common factor number is the GCF number.
So the greatest common factor 27264 and 27277 is 1.

Also check out the Least Common Multiple of 27264 and 27277