What is the Greatest Common Factor of 27124 and 27140?

Greatest common factor (GCF) of 27124 and 27140 is 4.

GCF(27124,27140) = 4

We will now calculate the prime factors of 27124 and 27140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27124 and 27140.

How to find the GCF of 27124 and 27140?

We will first find the prime factorization of 27124 and 27140. After we will calculate the factors of 27124 and 27140 and find the biggest common factor number .

Step-1: Prime Factorization of 27124

Prime factors of 27124 are 2, 6781. Prime factorization of 27124 in exponential form is:

27124 = 2² × 6781¹

Step-2: Prime Factorization of 27140

Prime factors of 27140 are 2, 5, 23, 59. Prime factorization of 27140 in exponential form is:

27140 = 2² × 5¹ × 23¹ × 59¹

Step-3: Factors of 27124

List of positive integer factors of 27124 that divides 27124 without a remainder.

1, 2, 4, 6781, 13562

Step-4: Factors of 27140

List of positive integer factors of 27140 that divides 27124 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 59, 92, 115, 118, 230, 236, 295, 460, 590, 1180, 1357, 2714, 5428, 6785, 13570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27124 and 27140. The biggest common factor number is the GCF number.
So the greatest common factor 27124 and 27140 is 4.

Also check out the Least Common Multiple of 27124 and 27140