What is the Greatest Common Factor of 90916 and 90932?

Greatest common factor (GCF) of 90916 and 90932 is 4.

GCF(90916,90932) = 4

We will now calculate the prime factors of 90916 and 90932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90916 and 90932.

How to find the GCF of 90916 and 90932?

We will first find the prime factorization of 90916 and 90932. After we will calculate the factors of 90916 and 90932 and find the biggest common factor number .

Step-1: Prime Factorization of 90916

Prime factors of 90916 are 2, 7, 17, 191. Prime factorization of 90916 in exponential form is:

90916 = 2² × 7¹ × 17¹ × 191¹

Step-2: Prime Factorization of 90932

Prime factors of 90932 are 2, 127, 179. Prime factorization of 90932 in exponential form is:

90932 = 2² × 127¹ × 179¹

Step-3: Factors of 90916

List of positive integer factors of 90916 that divides 90916 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 191, 238, 382, 476, 764, 1337, 2674, 3247, 5348, 6494, 12988, 22729, 45458

Step-4: Factors of 90932

List of positive integer factors of 90932 that divides 90916 without a remainder.

1, 2, 4, 127, 179, 254, 358, 508, 716, 22733, 45466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90916 and 90932. The biggest common factor number is the GCF number.
So the greatest common factor 90916 and 90932 is 4.

Also check out the Least Common Multiple of 90916 and 90932