What is the Greatest Common Factor of 64000 and 64019?

Greatest common factor (GCF) of 64000 and 64019 is 1.

GCF(64000,64019) = 1

We will now calculate the prime factors of 64000 and 64019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64000 and 64019.

How to find the GCF of 64000 and 64019?

We will first find the prime factorization of 64000 and 64019. After we will calculate the factors of 64000 and 64019 and find the biggest common factor number .

Step-1: Prime Factorization of 64000

Prime factors of 64000 are 2, 5. Prime factorization of 64000 in exponential form is:

64000 = 2⁹ × 5³

Step-2: Prime Factorization of 64019

Prime factors of 64019 are 64019. Prime factorization of 64019 in exponential form is:

64019 = 64019¹

Step-3: Factors of 64000

List of positive integer factors of 64000 that divides 64000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 640, 800, 1000, 1280, 1600, 2000, 2560, 3200, 4000, 6400, 8000, 12800, 16000, 32000

Step-4: Factors of 64019

List of positive integer factors of 64019 that divides 64000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64000 and 64019. The biggest common factor number is the GCF number.
So the greatest common factor 64000 and 64019 is 1.

Also check out the Least Common Multiple of 64000 and 64019