What is the Greatest Common Factor of 64029 and 64044?

Greatest common factor (GCF) of 64029 and 64044 is 3.

GCF(64029,64044) = 3

We will now calculate the prime factors of 64029 and 64044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64029 and 64044.

How to find the GCF of 64029 and 64044?

We will first find the prime factorization of 64029 and 64044. After we will calculate the factors of 64029 and 64044 and find the biggest common factor number .

Step-1: Prime Factorization of 64029

Prime factors of 64029 are 3, 7, 3049. Prime factorization of 64029 in exponential form is:

64029 = 3¹ × 7¹ × 3049¹

Step-2: Prime Factorization of 64044

Prime factors of 64044 are 2, 3, 593. Prime factorization of 64044 in exponential form is:

64044 = 2² × 3³ × 593¹

Step-3: Factors of 64029

List of positive integer factors of 64029 that divides 64029 without a remainder.

1, 3, 7, 21, 3049, 9147, 21343

Step-4: Factors of 64044

List of positive integer factors of 64044 that divides 64029 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 593, 1186, 1779, 2372, 3558, 5337, 7116, 10674, 16011, 21348, 32022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64029 and 64044. The biggest common factor number is the GCF number.
So the greatest common factor 64029 and 64044 is 3.

Also check out the Least Common Multiple of 64029 and 64044