What is the Greatest Common Factor of 64005 and 64020?

Greatest common factor (GCF) of 64005 and 64020 is 15.

GCF(64005,64020) = 15

We will now calculate the prime factors of 64005 and 64020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64005 and 64020.

How to find the GCF of 64005 and 64020?

We will first find the prime factorization of 64005 and 64020. After we will calculate the factors of 64005 and 64020 and find the biggest common factor number .

Step-1: Prime Factorization of 64005

Prime factors of 64005 are 3, 5, 17, 251. Prime factorization of 64005 in exponential form is:

64005 = 3¹ × 5¹ × 17¹ × 251¹

Step-2: 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-3: Factors of 64005

List of positive integer factors of 64005 that divides 64005 without a remainder.

1, 3, 5, 15, 17, 51, 85, 251, 255, 753, 1255, 3765, 4267, 12801, 21335

Step-4: Factors of 64020

List of positive integer factors of 64020 that divides 64005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64005 and 64020. The biggest common factor number is the GCF number.
So the greatest common factor 64005 and 64020 is 15.

Also check out the Least Common Multiple of 64005 and 64020