What is the Greatest Common Factor of 63994 and 64001?

Greatest common factor (GCF) of 63994 and 64001 is 7.

GCF(63994,64001) = 7

We will now calculate the prime factors of 63994 and 64001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63994 and 64001.

How to find the GCF of 63994 and 64001?

We will first find the prime factorization of 63994 and 64001. After we will calculate the factors of 63994 and 64001 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 64001

Prime factors of 64001 are 7, 41, 223. Prime factorization of 64001 in exponential form is:

64001 = 7¹ × 41¹ × 223¹

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 64001

List of positive integer factors of 64001 that divides 63994 without a remainder.

1, 7, 41, 223, 287, 1561, 9143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63994 and 64001. The biggest common factor number is the GCF number.
So the greatest common factor 63994 and 64001 is 7.

Also check out the Least Common Multiple of 63994 and 64001