What is the Greatest Common Factor of 64000 and 64010?

Greatest common factor (GCF) of 64000 and 64010 is 10.

GCF(64000,64010) = 10

We will now calculate the prime factors of 64000 and 64010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64000 and 64010.

How to find the GCF of 64000 and 64010?

We will first find the prime factorization of 64000 and 64010. After we will calculate the factors of 64000 and 64010 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 64010

Prime factors of 64010 are 2, 5, 37, 173. Prime factorization of 64010 in exponential form is:

64010 = 2¹ × 5¹ × 37¹ × 173¹

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 64010

List of positive integer factors of 64010 that divides 64000 without a remainder.

1, 2, 5, 10, 37, 74, 173, 185, 346, 370, 865, 1730, 6401, 12802, 32005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64000 and 64010. The biggest common factor number is the GCF number.
So the greatest common factor 64000 and 64010 is 10.

Also check out the Least Common Multiple of 64000 and 64010