What is the Greatest Common Factor of 90420 and 90432?

Greatest common factor (GCF) of 90420 and 90432 is 12.

GCF(90420,90432) = 12

We will now calculate the prime factors of 90420 and 90432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90420 and 90432.

How to find the GCF of 90420 and 90432?

We will first find the prime factorization of 90420 and 90432. After we will calculate the factors of 90420 and 90432 and find the biggest common factor number .

Step-1: Prime Factorization of 90420

Prime factors of 90420 are 2, 3, 5, 11, 137. Prime factorization of 90420 in exponential form is:

90420 = 2² × 3¹ × 5¹ × 11¹ × 137¹

Step-2: 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-3: Factors of 90420

List of positive integer factors of 90420 that divides 90420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 137, 165, 220, 274, 330, 411, 548, 660, 685, 822, 1370, 1507, 1644, 2055, 2740, 3014, 4110, 4521, 6028, 7535, 8220, 9042, 15070, 18084, 22605, 30140, 45210

Step-4: Factors of 90432

List of positive integer factors of 90432 that divides 90420 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90420 and 90432. The biggest common factor number is the GCF number.
So the greatest common factor 90420 and 90432 is 12.

Also check out the Least Common Multiple of 90420 and 90432