What is the Greatest Common Factor of 64140 and 64160?

Greatest common factor (GCF) of 64140 and 64160 is 20.

GCF(64140,64160) = 20

We will now calculate the prime factors of 64140 and 64160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64160.

How to find the GCF of 64140 and 64160?

We will first find the prime factorization of 64140 and 64160. After we will calculate the factors of 64140 and 64160 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 64160

Prime factors of 64160 are 2, 5, 401. Prime factorization of 64160 in exponential form is:

64160 = 2⁵ × 5¹ × 401¹

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 64160

List of positive integer factors of 64160 that divides 64140 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 401, 802, 1604, 2005, 3208, 4010, 6416, 8020, 12832, 16040, 32080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64160. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64160 is 20.

Also check out the Least Common Multiple of 64140 and 64160