What is the Greatest Common Factor of 27931 and 27936?

Greatest common factor (GCF) of 27931 and 27936 is 1.

GCF(27931,27936) = 1

We will now calculate the prime factors of 27931 and 27936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27931 and 27936.

How to find the GCF of 27931 and 27936?

We will first find the prime factorization of 27931 and 27936. After we will calculate the factors of 27931 and 27936 and find the biggest common factor number .

Step-1: Prime Factorization of 27931

Prime factors of 27931 are 17, 31, 53. Prime factorization of 27931 in exponential form is:

27931 = 17¹ × 31¹ × 53¹

Step-2: Prime Factorization of 27936

Prime factors of 27936 are 2, 3, 97. Prime factorization of 27936 in exponential form is:

27936 = 2⁵ × 3² × 97¹

Step-3: Factors of 27931

List of positive integer factors of 27931 that divides 27931 without a remainder.

1, 17, 31, 53, 527, 901, 1643

Step-4: Factors of 27936

List of positive integer factors of 27936 that divides 27931 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 97, 144, 194, 288, 291, 388, 582, 776, 873, 1164, 1552, 1746, 2328, 3104, 3492, 4656, 6984, 9312, 13968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27931 and 27936. The biggest common factor number is the GCF number.
So the greatest common factor 27931 and 27936 is 1.

Also check out the Least Common Multiple of 27931 and 27936