What is the Greatest Common Factor of 18512 and 18528?

Greatest common factor (GCF) of 18512 and 18528 is 16.

GCF(18512,18528) = 16

We will now calculate the prime factors of 18512 and 18528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18512 and 18528.

How to find the GCF of 18512 and 18528?

We will first find the prime factorization of 18512 and 18528. After we will calculate the factors of 18512 and 18528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18528

Prime factors of 18528 are 2, 3, 193. Prime factorization of 18528 in exponential form is:

18528 = 2⁵ × 3¹ × 193¹

Step-3: Factors of 18512

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

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

Step-4: Factors of 18528

List of positive integer factors of 18528 that divides 18512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 6176, 9264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18512 and 18528. The biggest common factor number is the GCF number.
So the greatest common factor 18512 and 18528 is 16.

Also check out the Least Common Multiple of 18512 and 18528