What is the Greatest Common Factor of 18545 and 18565?

Greatest common factor (GCF) of 18545 and 18565 is 5.

GCF(18545,18565) = 5

We will now calculate the prime factors of 18545 and 18565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18545 and 18565.

How to find the GCF of 18545 and 18565?

We will first find the prime factorization of 18545 and 18565. After we will calculate the factors of 18545 and 18565 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 18565

Prime factors of 18565 are 5, 47, 79. Prime factorization of 18565 in exponential form is:

18565 = 5¹ × 47¹ × 79¹

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 18565

List of positive integer factors of 18565 that divides 18545 without a remainder.

1, 5, 47, 79, 235, 395, 3713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18545 and 18565. The biggest common factor number is the GCF number.
So the greatest common factor 18545 and 18565 is 5.

Also check out the Least Common Multiple of 18545 and 18565