What is the Greatest Common Factor of 64120 and 64135?

Greatest common factor (GCF) of 64120 and 64135 is 5.

GCF(64120,64135) = 5

We will now calculate the prime factors of 64120 and 64135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64120 and 64135.

How to find the GCF of 64120 and 64135?

We will first find the prime factorization of 64120 and 64135. After we will calculate the factors of 64120 and 64135 and find the biggest common factor number .

Step-1: Prime Factorization of 64120

Prime factors of 64120 are 2, 5, 7, 229. Prime factorization of 64120 in exponential form is:

64120 = 2³ × 5¹ × 7¹ × 229¹

Step-2: Prime Factorization of 64135

Prime factors of 64135 are 5, 101, 127. Prime factorization of 64135 in exponential form is:

64135 = 5¹ × 101¹ × 127¹

Step-3: Factors of 64120

List of positive integer factors of 64120 that divides 64120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 229, 280, 458, 916, 1145, 1603, 1832, 2290, 3206, 4580, 6412, 8015, 9160, 12824, 16030, 32060

Step-4: Factors of 64135

List of positive integer factors of 64135 that divides 64120 without a remainder.

1, 5, 101, 127, 505, 635, 12827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64120 and 64135. The biggest common factor number is the GCF number.
So the greatest common factor 64120 and 64135 is 5.

Also check out the Least Common Multiple of 64120 and 64135