What is the Greatest Common Factor of 18635 and 18640?

Greatest common factor (GCF) of 18635 and 18640 is 5.

GCF(18635,18640) = 5

We will now calculate the prime factors of 18635 and 18640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18635 and 18640.

How to find the GCF of 18635 and 18640?

We will first find the prime factorization of 18635 and 18640. After we will calculate the factors of 18635 and 18640 and find the biggest common factor number .

Step-1: Prime Factorization of 18635

Prime factors of 18635 are 5, 3727. Prime factorization of 18635 in exponential form is:

18635 = 5¹ × 3727¹

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 18635

List of positive integer factors of 18635 that divides 18635 without a remainder.

1, 5, 3727

Step-4: Factors of 18640

List of positive integer factors of 18640 that divides 18635 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 18635 and 18640. The biggest common factor number is the GCF number.
So the greatest common factor 18635 and 18640 is 5.

Also check out the Least Common Multiple of 18635 and 18640