What is the Greatest Common Factor of 64020 and 64027?

Greatest common factor (GCF) of 64020 and 64027 is 1.

GCF(64020,64027) = 1

We will now calculate the prime factors of 64020 and 64027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64020 and 64027.

How to find the GCF of 64020 and 64027?

We will first find the prime factorization of 64020 and 64027. After we will calculate the factors of 64020 and 64027 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 64027

Prime factors of 64027 are 43, 1489. Prime factorization of 64027 in exponential form is:

64027 = 43¹ × 1489¹

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 64027

List of positive integer factors of 64027 that divides 64020 without a remainder.

1, 43, 1489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64020 and 64027. The biggest common factor number is the GCF number.
So the greatest common factor 64020 and 64027 is 1.

Also check out the Least Common Multiple of 64020 and 64027