What is the Greatest Common Factor of 27588 and 27607?

Greatest common factor (GCF) of 27588 and 27607 is 19.

GCF(27588,27607) = 19

We will now calculate the prime factors of 27588 and 27607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27588 and 27607.

How to find the GCF of 27588 and 27607?

We will first find the prime factorization of 27588 and 27607. After we will calculate the factors of 27588 and 27607 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27607

Prime factors of 27607 are 19, 1453. Prime factorization of 27607 in exponential form is:

27607 = 19¹ × 1453¹

Step-3: Factors of 27588

List of positive integer factors of 27588 that divides 27588 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

Step-4: Factors of 27607

List of positive integer factors of 27607 that divides 27588 without a remainder.

1, 19, 1453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27588 and 27607. The biggest common factor number is the GCF number.
So the greatest common factor 27588 and 27607 is 19.

Also check out the Least Common Multiple of 27588 and 27607