What is the Greatest Common Factor of 27911 and 27924?

Greatest common factor (GCF) of 27911 and 27924 is 13.

GCF(27911,27924) = 13

We will now calculate the prime factors of 27911 and 27924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27911 and 27924.

How to find the GCF of 27911 and 27924?

We will first find the prime factorization of 27911 and 27924. After we will calculate the factors of 27911 and 27924 and find the biggest common factor number .

Step-1: Prime Factorization of 27911

Prime factors of 27911 are 13, 19, 113. Prime factorization of 27911 in exponential form is:

27911 = 13¹ × 19¹ × 113¹

Step-2: Prime Factorization of 27924

Prime factors of 27924 are 2, 3, 13, 179. Prime factorization of 27924 in exponential form is:

27924 = 2² × 3¹ × 13¹ × 179¹

Step-3: Factors of 27911

List of positive integer factors of 27911 that divides 27911 without a remainder.

1, 13, 19, 113, 247, 1469, 2147

Step-4: Factors of 27924

List of positive integer factors of 27924 that divides 27911 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 179, 358, 537, 716, 1074, 2148, 2327, 4654, 6981, 9308, 13962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27911 and 27924. The biggest common factor number is the GCF number.
So the greatest common factor 27911 and 27924 is 13.

Also check out the Least Common Multiple of 27911 and 27924