What is the Greatest Common Factor of 90432 and 90441?

Greatest common factor (GCF) of 90432 and 90441 is 9.

GCF(90432,90441) = 9

We will now calculate the prime factors of 90432 and 90441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90432 and 90441.

How to find the GCF of 90432 and 90441?

We will first find the prime factorization of 90432 and 90441. After we will calculate the factors of 90432 and 90441 and find the biggest common factor number .

Step-1: Prime Factorization of 90432

Prime factors of 90432 are 2, 3, 157. Prime factorization of 90432 in exponential form is:

90432 = 2⁶ × 3² × 157¹

Step-2: Prime Factorization of 90441

Prime factors of 90441 are 3, 13, 773. Prime factorization of 90441 in exponential form is:

90441 = 3² × 13¹ × 773¹

Step-3: Factors of 90432

List of positive integer factors of 90432 that divides 90432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 157, 192, 288, 314, 471, 576, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5024, 5652, 7536, 10048, 11304, 15072, 22608, 30144, 45216

Step-4: Factors of 90441

List of positive integer factors of 90441 that divides 90432 without a remainder.

1, 3, 9, 13, 39, 117, 773, 2319, 6957, 10049, 30147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90432 and 90441. The biggest common factor number is the GCF number.
So the greatest common factor 90432 and 90441 is 9.

Also check out the Least Common Multiple of 90432 and 90441