What is the Greatest Common Factor of 18499 and 18512?

Greatest common factor (GCF) of 18499 and 18512 is 13.

GCF(18499,18512) = 13

We will now calculate the prime factors of 18499 and 18512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18499 and 18512.

How to find the GCF of 18499 and 18512?

We will first find the prime factorization of 18499 and 18512. After we will calculate the factors of 18499 and 18512 and find the biggest common factor number .

Step-1: Prime Factorization of 18499

Prime factors of 18499 are 13, 1423. Prime factorization of 18499 in exponential form is:

18499 = 13¹ × 1423¹

Step-2: Prime Factorization of 18512

Prime factors of 18512 are 2, 13, 89. Prime factorization of 18512 in exponential form is:

18512 = 2⁴ × 13¹ × 89¹

Step-3: Factors of 18499

List of positive integer factors of 18499 that divides 18499 without a remainder.

1, 13, 1423

Step-4: Factors of 18512

List of positive integer factors of 18512 that divides 18499 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 89, 104, 178, 208, 356, 712, 1157, 1424, 2314, 4628, 9256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18499 and 18512. The biggest common factor number is the GCF number.
So the greatest common factor 18499 and 18512 is 13.

Also check out the Least Common Multiple of 18499 and 18512