What is the Greatest Common Factor of 64140 and 64150?

Greatest common factor (GCF) of 64140 and 64150 is 10.

GCF(64140,64150) = 10

We will now calculate the prime factors of 64140 and 64150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64150.

How to find the GCF of 64140 and 64150?

We will first find the prime factorization of 64140 and 64150. After we will calculate the factors of 64140 and 64150 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 64150

Prime factors of 64150 are 2, 5, 1283. Prime factorization of 64150 in exponential form is:

64150 = 2¹ × 5² × 1283¹

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 64150

List of positive integer factors of 64150 that divides 64140 without a remainder.

1, 2, 5, 10, 25, 50, 1283, 2566, 6415, 12830, 32075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64150. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64150 is 10.

Also check out the Least Common Multiple of 64140 and 64150