What is the Greatest Common Factor of 64140 and 64159?

Greatest common factor (GCF) of 64140 and 64159 is 1.

GCF(64140,64159) = 1

We will now calculate the prime factors of 64140 and 64159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64159.

How to find the GCF of 64140 and 64159?

We will first find the prime factorization of 64140 and 64159. After we will calculate the factors of 64140 and 64159 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 64159

Prime factors of 64159 are 83, 773. Prime factorization of 64159 in exponential form is:

64159 = 83¹ × 773¹

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 64159

List of positive integer factors of 64159 that divides 64140 without a remainder.

1, 83, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64159. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64159 is 1.

Also check out the Least Common Multiple of 64140 and 64159