What is the Greatest Common Factor of 88968 and 88978?

Greatest common factor (GCF) of 88968 and 88978 is 2.

GCF(88968,88978) = 2

We will now calculate the prime factors of 88968 and 88978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88968 and 88978.

How to find the GCF of 88968 and 88978?

We will first find the prime factorization of 88968 and 88978. After we will calculate the factors of 88968 and 88978 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 88978

Prime factors of 88978 are 2, 17, 2617. Prime factorization of 88978 in exponential form is:

88978 = 2¹ × 17¹ × 2617¹

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 88978

List of positive integer factors of 88978 that divides 88968 without a remainder.

1, 2, 17, 34, 2617, 5234, 44489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88968 and 88978. The biggest common factor number is the GCF number.
So the greatest common factor 88968 and 88978 is 2.

Also check out the Least Common Multiple of 88968 and 88978