What is the Greatest Common Factor of 64029 and 64047?

Greatest common factor (GCF) of 64029 and 64047 is 3.

GCF(64029,64047) = 3

We will now calculate the prime factors of 64029 and 64047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64029 and 64047.

How to find the GCF of 64029 and 64047?

We will first find the prime factorization of 64029 and 64047. After we will calculate the factors of 64029 and 64047 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 64047

Prime factors of 64047 are 3, 37, 577. Prime factorization of 64047 in exponential form is:

64047 = 3¹ × 37¹ × 577¹

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 64047

List of positive integer factors of 64047 that divides 64029 without a remainder.

1, 3, 37, 111, 577, 1731, 21349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64029 and 64047. The biggest common factor number is the GCF number.
So the greatest common factor 64029 and 64047 is 3.

Also check out the Least Common Multiple of 64029 and 64047