What is the Greatest Common Factor of 63976 and 63994?

Greatest common factor (GCF) of 63976 and 63994 is 2.

GCF(63976,63994) = 2

We will now calculate the prime factors of 63976 and 63994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63976 and 63994.

How to find the GCF of 63976 and 63994?

We will first find the prime factorization of 63976 and 63994. After we will calculate the factors of 63976 and 63994 and find the biggest common factor number .

Step-1: Prime Factorization of 63976

Prime factors of 63976 are 2, 11, 727. Prime factorization of 63976 in exponential form is:

63976 = 2³ × 11¹ × 727¹

Step-2: 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-3: Factors of 63976

List of positive integer factors of 63976 that divides 63976 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 727, 1454, 2908, 5816, 7997, 15994, 31988

Step-4: Factors of 63994

List of positive integer factors of 63994 that divides 63976 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63976 and 63994. The biggest common factor number is the GCF number.
So the greatest common factor 63976 and 63994 is 2.

Also check out the Least Common Multiple of 63976 and 63994