What is the Greatest Common Factor of 87968 and 87982?

Greatest common factor (GCF) of 87968 and 87982 is 2.

GCF(87968,87982) = 2

We will now calculate the prime factors of 87968 and 87982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87968 and 87982.

How to find the GCF of 87968 and 87982?

We will first find the prime factorization of 87968 and 87982. After we will calculate the factors of 87968 and 87982 and find the biggest common factor number .

Step-1: Prime Factorization of 87968

Prime factors of 87968 are 2, 2749. Prime factorization of 87968 in exponential form is:

87968 = 2⁵ × 2749¹

Step-2: Prime Factorization of 87982

Prime factors of 87982 are 2, 43991. Prime factorization of 87982 in exponential form is:

87982 = 2¹ × 43991¹

Step-3: Factors of 87968

List of positive integer factors of 87968 that divides 87968 without a remainder.

1, 2, 4, 8, 16, 32, 2749, 5498, 10996, 21992, 43984

Step-4: Factors of 87982

List of positive integer factors of 87982 that divides 87968 without a remainder.

1, 2, 43991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87968 and 87982. The biggest common factor number is the GCF number.
So the greatest common factor 87968 and 87982 is 2.

Also check out the Least Common Multiple of 87968 and 87982