What is the Greatest Common Factor of 90624 and 90630?

Greatest common factor (GCF) of 90624 and 90630 is 6.

GCF(90624,90630) = 6

We will now calculate the prime factors of 90624 and 90630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90624 and 90630.

How to find the GCF of 90624 and 90630?

We will first find the prime factorization of 90624 and 90630. After we will calculate the factors of 90624 and 90630 and find the biggest common factor number .

Step-1: Prime Factorization of 90624

Prime factors of 90624 are 2, 3, 59. Prime factorization of 90624 in exponential form is:

90624 = 2⁹ × 3¹ × 59¹

Step-2: Prime Factorization of 90630

Prime factors of 90630 are 2, 3, 5, 19, 53. Prime factorization of 90630 in exponential form is:

90630 = 2¹ × 3² × 5¹ × 19¹ × 53¹

Step-3: Factors of 90624

List of positive integer factors of 90624 that divides 90624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 256, 354, 384, 472, 512, 708, 768, 944, 1416, 1536, 1888, 2832, 3776, 5664, 7552, 11328, 15104, 22656, 30208, 45312

Step-4: Factors of 90630

List of positive integer factors of 90630 that divides 90624 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 53, 57, 90, 95, 106, 114, 159, 171, 190, 265, 285, 318, 342, 477, 530, 570, 795, 855, 954, 1007, 1590, 1710, 2014, 2385, 3021, 4770, 5035, 6042, 9063, 10070, 15105, 18126, 30210, 45315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90624 and 90630. The biggest common factor number is the GCF number.
So the greatest common factor 90624 and 90630 is 6.

Also check out the Least Common Multiple of 90624 and 90630