What is the Greatest Common Factor of 27930 and 27936?

Greatest common factor (GCF) of 27930 and 27936 is 6.

GCF(27930,27936) = 6

We will now calculate the prime factors of 27930 and 27936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27930 and 27936.

How to find the GCF of 27930 and 27936?

We will first find the prime factorization of 27930 and 27936. After we will calculate the factors of 27930 and 27936 and find the biggest common factor number .

Step-1: Prime Factorization of 27930

Prime factors of 27930 are 2, 3, 5, 7, 19. Prime factorization of 27930 in exponential form is:

27930 = 2¹ × 3¹ × 5¹ × 7² × 19¹

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 27930

List of positive integer factors of 27930 that divides 27930 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 49, 57, 70, 95, 98, 105, 114, 133, 147, 190, 210, 245, 266, 285, 294, 399, 490, 570, 665, 735, 798, 931, 1330, 1470, 1862, 1995, 2793, 3990, 4655, 5586, 9310, 13965

Step-4: Factors of 27936

List of positive integer factors of 27936 that divides 27930 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 27930 and 27936. The biggest common factor number is the GCF number.
So the greatest common factor 27930 and 27936 is 6.

Also check out the Least Common Multiple of 27930 and 27936