What is the Greatest Common Factor of 27574 and 27578?

Greatest common factor (GCF) of 27574 and 27578 is 2.

GCF(27574,27578) = 2

We will now calculate the prime factors of 27574 and 27578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27574 and 27578.

How to find the GCF of 27574 and 27578?

We will first find the prime factorization of 27574 and 27578. After we will calculate the factors of 27574 and 27578 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 27578

Prime factors of 27578 are 2, 13789. Prime factorization of 27578 in exponential form is:

27578 = 2¹ × 13789¹

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 27578

List of positive integer factors of 27578 that divides 27574 without a remainder.

1, 2, 13789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27574 and 27578. The biggest common factor number is the GCF number.
So the greatest common factor 27574 and 27578 is 2.

Also check out the Least Common Multiple of 27574 and 27578