What is the Greatest Common Factor of 63994 and 64000?

Greatest common factor (GCF) of 63994 and 64000 is 2.

GCF(63994,64000) = 2

We will now calculate the prime factors of 63994 and 64000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63994 and 64000.

How to find the GCF of 63994 and 64000?

We will first find the prime factorization of 63994 and 64000. After we will calculate the factors of 63994 and 64000 and find the biggest common factor number .

Step-1: Prime Factorization of 63994

Prime factors of 63994 are 2, 7, 653. Prime factorization of 63994 in exponential form is:

63994 = 2¹ × 7² × 653¹

Step-2: Prime Factorization of 64000

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

64000 = 2⁹ × 5³

Step-3: Factors of 63994

List of positive integer factors of 63994 that divides 63994 without a remainder.

1, 2, 7, 14, 49, 98, 653, 1306, 4571, 9142, 31997

Step-4: Factors of 64000

List of positive integer factors of 64000 that divides 63994 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63994 and 64000. The biggest common factor number is the GCF number.
So the greatest common factor 63994 and 64000 is 2.

Also check out the Least Common Multiple of 63994 and 64000