What is the Greatest Common Factor of 90624 and 90640?

Greatest common factor (GCF) of 90624 and 90640 is 16.

GCF(90624,90640) = 16

We will now calculate the prime factors of 90624 and 90640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90624 and 90640.

How to find the GCF of 90624 and 90640?

We will first find the prime factorization of 90624 and 90640. After we will calculate the factors of 90624 and 90640 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 90640

Prime factors of 90640 are 2, 5, 11, 103. Prime factorization of 90640 in exponential form is:

90640 = 2⁴ × 5¹ × 11¹ × 103¹

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 90640

List of positive integer factors of 90640 that divides 90624 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 103, 110, 176, 206, 220, 412, 440, 515, 824, 880, 1030, 1133, 1648, 2060, 2266, 4120, 4532, 5665, 8240, 9064, 11330, 18128, 22660, 45320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90624 and 90640. The biggest common factor number is the GCF number.
So the greatest common factor 90624 and 90640 is 16.

Also check out the Least Common Multiple of 90624 and 90640