What is the Greatest Common Factor of 62140 and 62156?

Greatest common factor (GCF) of 62140 and 62156 is 4.

GCF(62140,62156) = 4

We will now calculate the prime factors of 62140 and 62156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62140 and 62156.

How to find the GCF of 62140 and 62156?

We will first find the prime factorization of 62140 and 62156. After we will calculate the factors of 62140 and 62156 and find the biggest common factor number .

Step-1: Prime Factorization of 62140

Prime factors of 62140 are 2, 5, 13, 239. Prime factorization of 62140 in exponential form is:

62140 = 2² × 5¹ × 13¹ × 239¹

Step-2: Prime Factorization of 62156

Prime factors of 62156 are 2, 41, 379. Prime factorization of 62156 in exponential form is:

62156 = 2² × 41¹ × 379¹

Step-3: Factors of 62140

List of positive integer factors of 62140 that divides 62140 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 239, 260, 478, 956, 1195, 2390, 3107, 4780, 6214, 12428, 15535, 31070

Step-4: Factors of 62156

List of positive integer factors of 62156 that divides 62140 without a remainder.

1, 2, 4, 41, 82, 164, 379, 758, 1516, 15539, 31078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62140 and 62156. The biggest common factor number is the GCF number.
So the greatest common factor 62140 and 62156 is 4.

Also check out the Least Common Multiple of 62140 and 62156