What is the Greatest Common Factor of 27956 and 27968?

Greatest common factor (GCF) of 27956 and 27968 is 4.

GCF(27956,27968) = 4

We will now calculate the prime factors of 27956 and 27968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27956 and 27968.

How to find the GCF of 27956 and 27968?

We will first find the prime factorization of 27956 and 27968. After we will calculate the factors of 27956 and 27968 and find the biggest common factor number .

Step-1: Prime Factorization of 27956

Prime factors of 27956 are 2, 29, 241. Prime factorization of 27956 in exponential form is:

27956 = 2² × 29¹ × 241¹

Step-2: Prime Factorization of 27968

Prime factors of 27968 are 2, 19, 23. Prime factorization of 27968 in exponential form is:

27968 = 2⁶ × 19¹ × 23¹

Step-3: Factors of 27956

List of positive integer factors of 27956 that divides 27956 without a remainder.

1, 2, 4, 29, 58, 116, 241, 482, 964, 6989, 13978

Step-4: Factors of 27968

List of positive integer factors of 27968 that divides 27956 without a remainder.

1, 2, 4, 8, 16, 19, 23, 32, 38, 46, 64, 76, 92, 152, 184, 304, 368, 437, 608, 736, 874, 1216, 1472, 1748, 3496, 6992, 13984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27956 and 27968. The biggest common factor number is the GCF number.
So the greatest common factor 27956 and 27968 is 4.

Also check out the Least Common Multiple of 27956 and 27968