What is the Greatest Common Factor of 18545 and 18560?

Greatest common factor (GCF) of 18545 and 18560 is 5.

GCF(18545,18560) = 5

We will now calculate the prime factors of 18545 and 18560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18545 and 18560.

How to find the GCF of 18545 and 18560?

We will first find the prime factorization of 18545 and 18560. After we will calculate the factors of 18545 and 18560 and find the biggest common factor number .

Step-1: Prime Factorization of 18545

Prime factors of 18545 are 5, 3709. Prime factorization of 18545 in exponential form is:

18545 = 5¹ × 3709¹

Step-2: Prime Factorization of 18560

Prime factors of 18560 are 2, 5, 29. Prime factorization of 18560 in exponential form is:

18560 = 2⁷ × 5¹ × 29¹

Step-3: Factors of 18545

List of positive integer factors of 18545 that divides 18545 without a remainder.

1, 5, 3709

Step-4: Factors of 18560

List of positive integer factors of 18560 that divides 18545 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 290, 320, 464, 580, 640, 928, 1160, 1856, 2320, 3712, 4640, 9280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18545 and 18560. The biggest common factor number is the GCF number.
So the greatest common factor 18545 and 18560 is 5.

Also check out the Least Common Multiple of 18545 and 18560