What is the Greatest Common Factor of 90492 and 90508?

Greatest common factor (GCF) of 90492 and 90508 is 4.

GCF(90492,90508) = 4

We will now calculate the prime factors of 90492 and 90508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90492 and 90508.

How to find the GCF of 90492 and 90508?

We will first find the prime factorization of 90492 and 90508. After we will calculate the factors of 90492 and 90508 and find the biggest common factor number .

Step-1: Prime Factorization of 90492

Prime factors of 90492 are 2, 3, 7541. Prime factorization of 90492 in exponential form is:

90492 = 2² × 3¹ × 7541¹

Step-2: Prime Factorization of 90508

Prime factors of 90508 are 2, 11, 17. Prime factorization of 90508 in exponential form is:

90508 = 2² × 11³ × 17¹

Step-3: Factors of 90492

List of positive integer factors of 90492 that divides 90492 without a remainder.

1, 2, 3, 4, 6, 12, 7541, 15082, 22623, 30164, 45246

Step-4: Factors of 90508

List of positive integer factors of 90508 that divides 90492 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 1331, 2057, 2662, 4114, 5324, 8228, 22627, 45254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90492 and 90508. The biggest common factor number is the GCF number.
So the greatest common factor 90492 and 90508 is 4.

Also check out the Least Common Multiple of 90492 and 90508