What is the Greatest Common Factor of 27577 and 27588?

Greatest common factor (GCF) of 27577 and 27588 is 11.

GCF(27577,27588) = 11

We will now calculate the prime factors of 27577 and 27588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27577 and 27588.

How to find the GCF of 27577 and 27588?

We will first find the prime factorization of 27577 and 27588. After we will calculate the factors of 27577 and 27588 and find the biggest common factor number .

Step-1: Prime Factorization of 27577

Prime factors of 27577 are 11, 23, 109. Prime factorization of 27577 in exponential form is:

27577 = 11¹ × 23¹ × 109¹

Step-2: Prime Factorization of 27588

Prime factors of 27588 are 2, 3, 11, 19. Prime factorization of 27588 in exponential form is:

27588 = 2² × 3¹ × 11² × 19¹

Step-3: Factors of 27577

List of positive integer factors of 27577 that divides 27577 without a remainder.

1, 11, 23, 109, 253, 1199, 2507

Step-4: Factors of 27588

List of positive integer factors of 27588 that divides 27577 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 121, 132, 209, 228, 242, 363, 418, 484, 627, 726, 836, 1254, 1452, 2299, 2508, 4598, 6897, 9196, 13794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27577 and 27588. The biggest common factor number is the GCF number.
So the greatest common factor 27577 and 27588 is 11.

Also check out the Least Common Multiple of 27577 and 27588