What is the Greatest Common Factor of 27724 and 27739?

Greatest common factor (GCF) of 27724 and 27739 is 1.

GCF(27724,27739) = 1

We will now calculate the prime factors of 27724 and 27739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27724 and 27739.

How to find the GCF of 27724 and 27739?

We will first find the prime factorization of 27724 and 27739. After we will calculate the factors of 27724 and 27739 and find the biggest common factor number .

Step-1: Prime Factorization of 27724

Prime factors of 27724 are 2, 29, 239. Prime factorization of 27724 in exponential form is:

27724 = 2² × 29¹ × 239¹

Step-2: Prime Factorization of 27739

Prime factors of 27739 are 27739. Prime factorization of 27739 in exponential form is:

27739 = 27739¹

Step-3: Factors of 27724

List of positive integer factors of 27724 that divides 27724 without a remainder.

1, 2, 4, 29, 58, 116, 239, 478, 956, 6931, 13862

Step-4: Factors of 27739

List of positive integer factors of 27739 that divides 27724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27724 and 27739. The biggest common factor number is the GCF number.
So the greatest common factor 27724 and 27739 is 1.

Also check out the Least Common Multiple of 27724 and 27739