What is the Greatest Common Factor of 18624 and 18640?

Greatest common factor (GCF) of 18624 and 18640 is 16.

GCF(18624,18640) = 16

We will now calculate the prime factors of 18624 and 18640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18624 and 18640.

How to find the GCF of 18624 and 18640?

We will first find the prime factorization of 18624 and 18640. After we will calculate the factors of 18624 and 18640 and find the biggest common factor number .

Step-1: Prime Factorization of 18624

Prime factors of 18624 are 2, 3, 97. Prime factorization of 18624 in exponential form is:

18624 = 2⁶ × 3¹ × 97¹

Step-2: Prime Factorization of 18640

Prime factors of 18640 are 2, 5, 233. Prime factorization of 18640 in exponential form is:

18640 = 2⁴ × 5¹ × 233¹

Step-3: Factors of 18624

List of positive integer factors of 18624 that divides 18624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 192, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312

Step-4: Factors of 18640

List of positive integer factors of 18640 that divides 18624 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 233, 466, 932, 1165, 1864, 2330, 3728, 4660, 9320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18624 and 18640. The biggest common factor number is the GCF number.
So the greatest common factor 18624 and 18640 is 16.

Also check out the Least Common Multiple of 18624 and 18640