What is the Greatest Common Factor of 64009 and 64023?

Greatest common factor (GCF) of 64009 and 64023 is 1.

GCF(64009,64023) = 1

We will now calculate the prime factors of 64009 and 64023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64009 and 64023.

How to find the GCF of 64009 and 64023?

We will first find the prime factorization of 64009 and 64023. After we will calculate the factors of 64009 and 64023 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 64023

Prime factors of 64023 are 3, 21341. Prime factorization of 64023 in exponential form is:

64023 = 3¹ × 21341¹

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 64023

List of positive integer factors of 64023 that divides 64009 without a remainder.

1, 3, 21341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64009 and 64023. The biggest common factor number is the GCF number.
So the greatest common factor 64009 and 64023 is 1.

Also check out the Least Common Multiple of 64009 and 64023