What is the Greatest Common Factor of 88968 and 88982?

Greatest common factor (GCF) of 88968 and 88982 is 2.

GCF(88968,88982) = 2

We will now calculate the prime factors of 88968 and 88982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88968 and 88982.

How to find the GCF of 88968 and 88982?

We will first find the prime factorization of 88968 and 88982. After we will calculate the factors of 88968 and 88982 and find the biggest common factor number .

Step-1: Prime Factorization of 88968

Prime factors of 88968 are 2, 3, 11, 337. Prime factorization of 88968 in exponential form is:

88968 = 2³ × 3¹ × 11¹ × 337¹

Step-2: Prime Factorization of 88982

Prime factors of 88982 are 2, 44491. Prime factorization of 88982 in exponential form is:

88982 = 2¹ × 44491¹

Step-3: Factors of 88968

List of positive integer factors of 88968 that divides 88968 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 337, 674, 1011, 1348, 2022, 2696, 3707, 4044, 7414, 8088, 11121, 14828, 22242, 29656, 44484

Step-4: Factors of 88982

List of positive integer factors of 88982 that divides 88968 without a remainder.

1, 2, 44491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88968 and 88982. The biggest common factor number is the GCF number.
So the greatest common factor 88968 and 88982 is 2.

Also check out the Least Common Multiple of 88968 and 88982