What is the Greatest Common Factor of 63982 and 63988?

Greatest common factor (GCF) of 63982 and 63988 is 2.

GCF(63982,63988) = 2

We will now calculate the prime factors of 63982 and 63988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63982 and 63988.

How to find the GCF of 63982 and 63988?

We will first find the prime factorization of 63982 and 63988. After we will calculate the factors of 63982 and 63988 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 63988

Prime factors of 63988 are 2, 17, 941. Prime factorization of 63988 in exponential form is:

63988 = 2² × 17¹ × 941¹

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 63988

List of positive integer factors of 63988 that divides 63982 without a remainder.

1, 2, 4, 17, 34, 68, 941, 1882, 3764, 15997, 31994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63982 and 63988. The biggest common factor number is the GCF number.
So the greatest common factor 63982 and 63988 is 2.

Also check out the Least Common Multiple of 63982 and 63988