What is the Greatest Common Factor of 90188 and 90192?

Greatest common factor (GCF) of 90188 and 90192 is 4.

GCF(90188,90192) = 4

We will now calculate the prime factors of 90188 and 90192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90188 and 90192.

How to find the GCF of 90188 and 90192?

We will first find the prime factorization of 90188 and 90192. After we will calculate the factors of 90188 and 90192 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 90192

Prime factors of 90192 are 2, 3, 1879. Prime factorization of 90192 in exponential form is:

90192 = 2⁴ × 3¹ × 1879¹

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 90192

List of positive integer factors of 90192 that divides 90188 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1879, 3758, 5637, 7516, 11274, 15032, 22548, 30064, 45096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90188 and 90192. The biggest common factor number is the GCF number.
So the greatest common factor 90188 and 90192 is 4.

Also check out the Least Common Multiple of 90188 and 90192