What is the Greatest Common Factor of 27963 and 27976?

Greatest common factor (GCF) of 27963 and 27976 is 13.

GCF(27963,27976) = 13

We will now calculate the prime factors of 27963 and 27976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27963 and 27976.

How to find the GCF of 27963 and 27976?

We will first find the prime factorization of 27963 and 27976. After we will calculate the factors of 27963 and 27976 and find the biggest common factor number .

Step-1: Prime Factorization of 27963

Prime factors of 27963 are 3, 13, 239. Prime factorization of 27963 in exponential form is:

27963 = 3² × 13¹ × 239¹

Step-2: Prime Factorization of 27976

Prime factors of 27976 are 2, 13, 269. Prime factorization of 27976 in exponential form is:

27976 = 2³ × 13¹ × 269¹

Step-3: Factors of 27963

List of positive integer factors of 27963 that divides 27963 without a remainder.

1, 3, 9, 13, 39, 117, 239, 717, 2151, 3107, 9321

Step-4: Factors of 27976

List of positive integer factors of 27976 that divides 27963 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 269, 538, 1076, 2152, 3497, 6994, 13988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27963 and 27976. The biggest common factor number is the GCF number.
So the greatest common factor 27963 and 27976 is 13.

Also check out the Least Common Multiple of 27963 and 27976