What is the Greatest Common Factor of 27574 and 27591?

Greatest common factor (GCF) of 27574 and 27591 is 17.

GCF(27574,27591) = 17

We will now calculate the prime factors of 27574 and 27591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27574 and 27591.

How to find the GCF of 27574 and 27591?

We will first find the prime factorization of 27574 and 27591. After we will calculate the factors of 27574 and 27591 and find the biggest common factor number .

Step-1: Prime Factorization of 27574

Prime factors of 27574 are 2, 17, 811. Prime factorization of 27574 in exponential form is:

27574 = 2¹ × 17¹ × 811¹

Step-2: Prime Factorization of 27591

Prime factors of 27591 are 3, 17, 541. Prime factorization of 27591 in exponential form is:

27591 = 3¹ × 17¹ × 541¹

Step-3: Factors of 27574

List of positive integer factors of 27574 that divides 27574 without a remainder.

1, 2, 17, 34, 811, 1622, 13787

Step-4: Factors of 27591

List of positive integer factors of 27591 that divides 27574 without a remainder.

1, 3, 17, 51, 541, 1623, 9197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27574 and 27591. The biggest common factor number is the GCF number.
So the greatest common factor 27574 and 27591 is 17.

Also check out the Least Common Multiple of 27574 and 27591