What is the Greatest Common Factor of 64140 and 64148?

Greatest common factor (GCF) of 64140 and 64148 is 4.

GCF(64140,64148) = 4

We will now calculate the prime factors of 64140 and 64148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64148.

How to find the GCF of 64140 and 64148?

We will first find the prime factorization of 64140 and 64148. After we will calculate the factors of 64140 and 64148 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 64148

Prime factors of 64148 are 2, 7, 29, 79. Prime factorization of 64148 in exponential form is:

64148 = 2² × 7¹ × 29¹ × 79¹

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 64148

List of positive integer factors of 64148 that divides 64140 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 79, 116, 158, 203, 316, 406, 553, 812, 1106, 2212, 2291, 4582, 9164, 16037, 32074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64148. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64148 is 4.

Also check out the Least Common Multiple of 64140 and 64148