What is the Greatest Common Factor of 90188 and 90208?

Greatest common factor (GCF) of 90188 and 90208 is 4.

GCF(90188,90208) = 4

We will now calculate the prime factors of 90188 and 90208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90188 and 90208.

How to find the GCF of 90188 and 90208?

We will first find the prime factorization of 90188 and 90208. After we will calculate the factors of 90188 and 90208 and find the biggest common factor number .

Step-1: Prime Factorization of 90188

Prime factors of 90188 are 2, 7, 3221. Prime factorization of 90188 in exponential form is:

90188 = 2² × 7¹ × 3221¹

Step-2: Prime Factorization of 90208

Prime factors of 90208 are 2, 2819. Prime factorization of 90208 in exponential form is:

90208 = 2⁵ × 2819¹

Step-3: Factors of 90188

List of positive integer factors of 90188 that divides 90188 without a remainder.

1, 2, 4, 7, 14, 28, 3221, 6442, 12884, 22547, 45094

Step-4: Factors of 90208

List of positive integer factors of 90208 that divides 90188 without a remainder.

1, 2, 4, 8, 16, 32, 2819, 5638, 11276, 22552, 45104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90188 and 90208. The biggest common factor number is the GCF number.
So the greatest common factor 90188 and 90208 is 4.

Also check out the Least Common Multiple of 90188 and 90208