What is the Greatest Common Factor of 64020 and 64035?

Greatest common factor (GCF) of 64020 and 64035 is 15.

GCF(64020,64035) = 15

We will now calculate the prime factors of 64020 and 64035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64020 and 64035.

How to find the GCF of 64020 and 64035?

We will first find the prime factorization of 64020 and 64035. After we will calculate the factors of 64020 and 64035 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 64035

Prime factors of 64035 are 3, 5, 1423. Prime factorization of 64035 in exponential form is:

64035 = 3² × 5¹ × 1423¹

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 64035

List of positive integer factors of 64035 that divides 64020 without a remainder.

1, 3, 5, 9, 15, 45, 1423, 4269, 7115, 12807, 21345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64020 and 64035. The biggest common factor number is the GCF number.
So the greatest common factor 64020 and 64035 is 15.

Also check out the Least Common Multiple of 64020 and 64035