What is the Greatest Common Factor of 27936 and 27949?

Greatest common factor (GCF) of 27936 and 27949 is 1.

GCF(27936,27949) = 1

We will now calculate the prime factors of 27936 and 27949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27936 and 27949.

How to find the GCF of 27936 and 27949?

We will first find the prime factorization of 27936 and 27949. After we will calculate the factors of 27936 and 27949 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27949

Prime factors of 27949 are 19, 1471. Prime factorization of 27949 in exponential form is:

27949 = 19¹ × 1471¹

Step-3: Factors of 27936

List of positive integer factors of 27936 that divides 27936 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

Step-4: Factors of 27949

List of positive integer factors of 27949 that divides 27936 without a remainder.

1, 19, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27936 and 27949. The biggest common factor number is the GCF number.
So the greatest common factor 27936 and 27949 is 1.

Also check out the Least Common Multiple of 27936 and 27949