What is the Greatest Common Factor of 6140 and 6156?

Greatest common factor (GCF) of 6140 and 6156 is 4.

GCF(6140,6156) = 4

We will now calculate the prime factors of 6140 and 6156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6140 and 6156.

How to find the GCF of 6140 and 6156?

We will first find the prime factorization of 6140 and 6156. After we will calculate the factors of 6140 and 6156 and find the biggest common factor number .

Step-1: Prime Factorization of 6140

Prime factors of 6140 are 2, 5, 307. Prime factorization of 6140 in exponential form is:

6140 = 2² × 5¹ × 307¹

Step-2: Prime Factorization of 6156

Prime factors of 6156 are 2, 3, 19. Prime factorization of 6156 in exponential form is:

6156 = 2² × 3⁴ × 19¹

Step-3: Factors of 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070

Step-4: Factors of 6156

List of positive integer factors of 6156 that divides 6140 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6140 and 6156. The biggest common factor number is the GCF number.
So the greatest common factor 6140 and 6156 is 4.

Also check out the Least Common Multiple of 6140 and 6156