What is the Greatest Common Factor of 90032 and 90044?

Greatest common factor (GCF) of 90032 and 90044 is 4.

GCF(90032,90044) = 4

We will now calculate the prime factors of 90032 and 90044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90032 and 90044.

How to find the GCF of 90032 and 90044?

We will first find the prime factorization of 90032 and 90044. After we will calculate the factors of 90032 and 90044 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 90044

Prime factors of 90044 are 2, 22511. Prime factorization of 90044 in exponential form is:

90044 = 2² × 22511¹

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 90044

List of positive integer factors of 90044 that divides 90032 without a remainder.

1, 2, 4, 22511, 45022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90032 and 90044. The biggest common factor number is the GCF number.
So the greatest common factor 90032 and 90044 is 4.

Also check out the Least Common Multiple of 90032 and 90044