What is the Greatest Common Factor of 63966 and 63982?

Greatest common factor (GCF) of 63966 and 63982 is 2.

GCF(63966,63982) = 2

We will now calculate the prime factors of 63966 and 63982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63966 and 63982.

How to find the GCF of 63966 and 63982?

We will first find the prime factorization of 63966 and 63982. After we will calculate the factors of 63966 and 63982 and find the biggest common factor number .

Step-1: Prime Factorization of 63966

Prime factors of 63966 are 2, 3, 7, 1523. Prime factorization of 63966 in exponential form is:

63966 = 2¹ × 3¹ × 7¹ × 1523¹

Step-2: Prime Factorization of 63982

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

63982 = 2¹ × 31991¹

Step-3: Factors of 63966

List of positive integer factors of 63966 that divides 63966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1523, 3046, 4569, 9138, 10661, 21322, 31983

Step-4: Factors of 63982

List of positive integer factors of 63982 that divides 63966 without a remainder.

1, 2, 31991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63966 and 63982. The biggest common factor number is the GCF number.
So the greatest common factor 63966 and 63982 is 2.

Also check out the Least Common Multiple of 63966 and 63982