What is the Greatest Common Factor of 64011 and 64020?

Greatest common factor (GCF) of 64011 and 64020 is 3.

GCF(64011,64020) = 3

We will now calculate the prime factors of 64011 and 64020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64011 and 64020.

How to find the GCF of 64011 and 64020?

We will first find the prime factorization of 64011 and 64020. After we will calculate the factors of 64011 and 64020 and find the biggest common factor number .

Step-1: Prime Factorization of 64011

Prime factors of 64011 are 3, 19, 1123. Prime factorization of 64011 in exponential form is:

64011 = 3¹ × 19¹ × 1123¹

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 64011

List of positive integer factors of 64011 that divides 64011 without a remainder.

1, 3, 19, 57, 1123, 3369, 21337

Step-4: Factors of 64020

List of positive integer factors of 64020 that divides 64011 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 64011 and 64020. The biggest common factor number is the GCF number.
So the greatest common factor 64011 and 64020 is 3.

Also check out the Least Common Multiple of 64011 and 64020