What is the Greatest Common Factor of 88936 and 88940?

Greatest common factor (GCF) of 88936 and 88940 is 4.

GCF(88936,88940) = 4

We will now calculate the prime factors of 88936 and 88940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88936 and 88940.

How to find the GCF of 88936 and 88940?

We will first find the prime factorization of 88936 and 88940. After we will calculate the factors of 88936 and 88940 and find the biggest common factor number .

Step-1: Prime Factorization of 88936

Prime factors of 88936 are 2, 11117. Prime factorization of 88936 in exponential form is:

88936 = 2³ × 11117¹

Step-2: Prime Factorization of 88940

Prime factors of 88940 are 2, 5, 4447. Prime factorization of 88940 in exponential form is:

88940 = 2² × 5¹ × 4447¹

Step-3: Factors of 88936

List of positive integer factors of 88936 that divides 88936 without a remainder.

1, 2, 4, 8, 11117, 22234, 44468

Step-4: Factors of 88940

List of positive integer factors of 88940 that divides 88936 without a remainder.

1, 2, 4, 5, 10, 20, 4447, 8894, 17788, 22235, 44470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88936 and 88940. The biggest common factor number is the GCF number.
So the greatest common factor 88936 and 88940 is 4.

Also check out the Least Common Multiple of 88936 and 88940