What is the Greatest Common Factor of 64120 and 64132?

Greatest common factor (GCF) of 64120 and 64132 is 4.

GCF(64120,64132) = 4

We will now calculate the prime factors of 64120 and 64132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64120 and 64132.

How to find the GCF of 64120 and 64132?

We will first find the prime factorization of 64120 and 64132. After we will calculate the factors of 64120 and 64132 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 64132

Prime factors of 64132 are 2, 16033. Prime factorization of 64132 in exponential form is:

64132 = 2² × 16033¹

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 64132

List of positive integer factors of 64132 that divides 64120 without a remainder.

1, 2, 4, 16033, 32066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64120 and 64132. The biggest common factor number is the GCF number.
So the greatest common factor 64120 and 64132 is 4.

Also check out the Least Common Multiple of 64120 and 64132