What is the Greatest Common Factor of 90624 and 90635?

Greatest common factor (GCF) of 90624 and 90635 is 1.

GCF(90624,90635) = 1

We will now calculate the prime factors of 90624 and 90635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90624 and 90635.

How to find the GCF of 90624 and 90635?

We will first find the prime factorization of 90624 and 90635. After we will calculate the factors of 90624 and 90635 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 90635

Prime factors of 90635 are 5, 18127. Prime factorization of 90635 in exponential form is:

90635 = 5¹ × 18127¹

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 90635

List of positive integer factors of 90635 that divides 90624 without a remainder.

1, 5, 18127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90624 and 90635. The biggest common factor number is the GCF number.
So the greatest common factor 90624 and 90635 is 1.

Also check out the Least Common Multiple of 90624 and 90635