What is the Greatest Common Factor of 64100 and 64120?

Greatest common factor (GCF) of 64100 and 64120 is 20.

GCF(64100,64120) = 20

We will now calculate the prime factors of 64100 and 64120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64100 and 64120.

How to find the GCF of 64100 and 64120?

We will first find the prime factorization of 64100 and 64120. After we will calculate the factors of 64100 and 64120 and find the biggest common factor number .

Step-1: Prime Factorization of 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 2² × 5² × 641¹

Step-2: 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-3: Factors of 64100

List of positive integer factors of 64100 that divides 64100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 641, 1282, 2564, 3205, 6410, 12820, 16025, 32050

Step-4: Factors of 64120

List of positive integer factors of 64120 that divides 64100 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64100 and 64120. The biggest common factor number is the GCF number.
So the greatest common factor 64100 and 64120 is 20.

Also check out the Least Common Multiple of 64100 and 64120