What is the Greatest Common Factor of 64020 and 64025?

Greatest common factor (GCF) of 64020 and 64025 is 5.

GCF(64020,64025) = 5

We will now calculate the prime factors of 64020 and 64025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64020 and 64025.

How to find the GCF of 64020 and 64025?

We will first find the prime factorization of 64020 and 64025. After we will calculate the factors of 64020 and 64025 and find the biggest common factor number .

Step-1: Prime Factorization of 64020

Prime factors of 64020 are 2, 3, 5, 11, 97. Prime factorization of 64020 in exponential form is:

64020 = 2² × 3¹ × 5¹ × 11¹ × 97¹

Step-2: Prime Factorization of 64025

Prime factors of 64025 are 5, 13, 197. Prime factorization of 64025 in exponential form is:

64025 = 5² × 13¹ × 197¹

Step-3: Factors of 64020

List of positive integer factors of 64020 that divides 64020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 97, 110, 132, 165, 194, 220, 291, 330, 388, 485, 582, 660, 970, 1067, 1164, 1455, 1940, 2134, 2910, 3201, 4268, 5335, 5820, 6402, 10670, 12804, 16005, 21340, 32010

Step-4: Factors of 64025

List of positive integer factors of 64025 that divides 64020 without a remainder.

1, 5, 13, 25, 65, 197, 325, 985, 2561, 4925, 12805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64020 and 64025. The biggest common factor number is the GCF number.
So the greatest common factor 64020 and 64025 is 5.

Also check out the Least Common Multiple of 64020 and 64025