What is the Greatest Common Factor of 27914 and 27932?

Greatest common factor (GCF) of 27914 and 27932 is 2.

GCF(27914,27932) = 2

We will now calculate the prime factors of 27914 and 27932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27914 and 27932.

How to find the GCF of 27914 and 27932?

We will first find the prime factorization of 27914 and 27932. After we will calculate the factors of 27914 and 27932 and find the biggest common factor number .

Step-1: Prime Factorization of 27914

Prime factors of 27914 are 2, 17, 821. Prime factorization of 27914 in exponential form is:

27914 = 2¹ × 17¹ × 821¹

Step-2: Prime Factorization of 27932

Prime factors of 27932 are 2, 6983. Prime factorization of 27932 in exponential form is:

27932 = 2² × 6983¹

Step-3: Factors of 27914

List of positive integer factors of 27914 that divides 27914 without a remainder.

1, 2, 17, 34, 821, 1642, 13957

Step-4: Factors of 27932

List of positive integer factors of 27932 that divides 27914 without a remainder.

1, 2, 4, 6983, 13966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27914 and 27932. The biggest common factor number is the GCF number.
So the greatest common factor 27914 and 27932 is 2.

Also check out the Least Common Multiple of 27914 and 27932