What is the Greatest Common Factor of 63982 and 63994?

Greatest common factor (GCF) of 63982 and 63994 is 2.

GCF(63982,63994) = 2

We will now calculate the prime factors of 63982 and 63994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63982 and 63994.

How to find the GCF of 63982 and 63994?

We will first find the prime factorization of 63982 and 63994. After we will calculate the factors of 63982 and 63994 and find the biggest common factor number .

Step-1: Prime Factorization of 63982

Prime factors of 63982 are 2, 31991. Prime factorization of 63982 in exponential form is:

63982 = 2¹ × 31991¹

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 63982

List of positive integer factors of 63982 that divides 63982 without a remainder.

1, 2, 31991

Step-4: Factors of 63994

List of positive integer factors of 63994 that divides 63982 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 63982 and 63994. The biggest common factor number is the GCF number.
So the greatest common factor 63982 and 63994 is 2.

Also check out the Least Common Multiple of 63982 and 63994