What is the Greatest Common Factor of 64140 and 64156?

Greatest common factor (GCF) of 64140 and 64156 is 4.

GCF(64140,64156) = 4

We will now calculate the prime factors of 64140 and 64156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64156.

How to find the GCF of 64140 and 64156?

We will first find the prime factorization of 64140 and 64156. After we will calculate the factors of 64140 and 64156 and find the biggest common factor number .

Step-1: Prime Factorization of 64140

Prime factors of 64140 are 2, 3, 5, 1069. Prime factorization of 64140 in exponential form is:

64140 = 2² × 3¹ × 5¹ × 1069¹

Step-2: Prime Factorization of 64156

Prime factors of 64156 are 2, 43, 373. Prime factorization of 64156 in exponential form is:

64156 = 2² × 43¹ × 373¹

Step-3: Factors of 64140

List of positive integer factors of 64140 that divides 64140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1069, 2138, 3207, 4276, 5345, 6414, 10690, 12828, 16035, 21380, 32070

Step-4: Factors of 64156

List of positive integer factors of 64156 that divides 64140 without a remainder.

1, 2, 4, 43, 86, 172, 373, 746, 1492, 16039, 32078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64156. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64156 is 4.

Also check out the Least Common Multiple of 64140 and 64156