What is the Greatest Common Factor of 90508 and 90512?

Greatest common factor (GCF) of 90508 and 90512 is 4.

GCF(90508,90512) = 4

We will now calculate the prime factors of 90508 and 90512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90508 and 90512.

How to find the GCF of 90508 and 90512?

We will first find the prime factorization of 90508 and 90512. After we will calculate the factors of 90508 and 90512 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90512

Prime factors of 90512 are 2, 5657. Prime factorization of 90512 in exponential form is:

90512 = 2⁴ × 5657¹

Step-3: Factors of 90508

List of positive integer factors of 90508 that divides 90508 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

Step-4: Factors of 90512

List of positive integer factors of 90512 that divides 90508 without a remainder.

1, 2, 4, 8, 16, 5657, 11314, 22628, 45256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90508 and 90512. The biggest common factor number is the GCF number.
So the greatest common factor 90508 and 90512 is 4.

Also check out the Least Common Multiple of 90508 and 90512