What is the Greatest Common Factor of 64140 and 64149?

Greatest common factor (GCF) of 64140 and 64149 is 3.

GCF(64140,64149) = 3

We will now calculate the prime factors of 64140 and 64149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64140 and 64149.

How to find the GCF of 64140 and 64149?

We will first find the prime factorization of 64140 and 64149. After we will calculate the factors of 64140 and 64149 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 64149

Prime factors of 64149 are 3, 21383. Prime factorization of 64149 in exponential form is:

64149 = 3¹ × 21383¹

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 64149

List of positive integer factors of 64149 that divides 64140 without a remainder.

1, 3, 21383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64140 and 64149. The biggest common factor number is the GCF number.
So the greatest common factor 64140 and 64149 is 3.

Also check out the Least Common Multiple of 64140 and 64149