What is the Greatest Common Factor of 64009 and 64029?

Greatest common factor (GCF) of 64009 and 64029 is 1.

GCF(64009,64029) = 1

We will now calculate the prime factors of 64009 and 64029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64009 and 64029.

How to find the GCF of 64009 and 64029?

We will first find the prime factorization of 64009 and 64029. After we will calculate the factors of 64009 and 64029 and find the biggest common factor number .

Step-1: Prime Factorization of 64009

Prime factors of 64009 are 11, 23. Prime factorization of 64009 in exponential form is:

64009 = 11² × 23²

Step-2: 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-3: Factors of 64009

List of positive integer factors of 64009 that divides 64009 without a remainder.

1, 11, 23, 121, 253, 529, 2783, 5819

Step-4: Factors of 64029

List of positive integer factors of 64029 that divides 64009 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64009 and 64029. The biggest common factor number is the GCF number.
So the greatest common factor 64009 and 64029 is 1.

Also check out the Least Common Multiple of 64009 and 64029