What is the Greatest Common Factor of 18528 and 18533?

Greatest common factor (GCF) of 18528 and 18533 is 1.

GCF(18528,18533) = 1

We will now calculate the prime factors of 18528 and 18533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18528 and 18533.

How to find the GCF of 18528 and 18533?

We will first find the prime factorization of 18528 and 18533. After we will calculate the factors of 18528 and 18533 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18533

Prime factors of 18533 are 43, 431. Prime factorization of 18533 in exponential form is:

18533 = 43¹ × 431¹

Step-3: Factors of 18528

List of positive integer factors of 18528 that divides 18528 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

Step-4: Factors of 18533

List of positive integer factors of 18533 that divides 18528 without a remainder.

1, 43, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18528 and 18533. The biggest common factor number is the GCF number.
So the greatest common factor 18528 and 18533 is 1.

Also check out the Least Common Multiple of 18528 and 18533