What is the Greatest Common Factor of 27574 and 27592?

Greatest common factor (GCF) of 27574 and 27592 is 2.

GCF(27574,27592) = 2

We will now calculate the prime factors of 27574 and 27592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27574 and 27592.

How to find the GCF of 27574 and 27592?

We will first find the prime factorization of 27574 and 27592. After we will calculate the factors of 27574 and 27592 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 27592

Prime factors of 27592 are 2, 3449. Prime factorization of 27592 in exponential form is:

27592 = 2³ × 3449¹

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 27592

List of positive integer factors of 27592 that divides 27574 without a remainder.

1, 2, 4, 8, 3449, 6898, 13796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27574 and 27592. The biggest common factor number is the GCF number.
So the greatest common factor 27574 and 27592 is 2.

Also check out the Least Common Multiple of 27574 and 27592