What is the Greatest Common Factor of 27910 and 27924?

Greatest common factor (GCF) of 27910 and 27924 is 2.

GCF(27910,27924) = 2

We will now calculate the prime factors of 27910 and 27924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27910 and 27924.

How to find the GCF of 27910 and 27924?

We will first find the prime factorization of 27910 and 27924. After we will calculate the factors of 27910 and 27924 and find the biggest common factor number .

Step-1: Prime Factorization of 27910

Prime factors of 27910 are 2, 5, 2791. Prime factorization of 27910 in exponential form is:

27910 = 2¹ × 5¹ × 2791¹

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 27910

List of positive integer factors of 27910 that divides 27910 without a remainder.

1, 2, 5, 10, 2791, 5582, 13955

Step-4: Factors of 27924

List of positive integer factors of 27924 that divides 27910 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 27910 and 27924. The biggest common factor number is the GCF number.
So the greatest common factor 27910 and 27924 is 2.

Also check out the Least Common Multiple of 27910 and 27924