What is the Greatest Common Factor of 90032 and 90040?

Greatest common factor (GCF) of 90032 and 90040 is 8.

GCF(90032,90040) = 8

We will now calculate the prime factors of 90032 and 90040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90032 and 90040.

How to find the GCF of 90032 and 90040?

We will first find the prime factorization of 90032 and 90040. After we will calculate the factors of 90032 and 90040 and find the biggest common factor number .

Step-1: Prime Factorization of 90032

Prime factors of 90032 are 2, 17, 331. Prime factorization of 90032 in exponential form is:

90032 = 2⁴ × 17¹ × 331¹

Step-2: Prime Factorization of 90040

Prime factors of 90040 are 2, 5, 2251. Prime factorization of 90040 in exponential form is:

90040 = 2³ × 5¹ × 2251¹

Step-3: Factors of 90032

List of positive integer factors of 90032 that divides 90032 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 331, 662, 1324, 2648, 5296, 5627, 11254, 22508, 45016

Step-4: Factors of 90040

List of positive integer factors of 90040 that divides 90032 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2251, 4502, 9004, 11255, 18008, 22510, 45020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90032 and 90040. The biggest common factor number is the GCF number.
So the greatest common factor 90032 and 90040 is 8.

Also check out the Least Common Multiple of 90032 and 90040