What is the Greatest Common Factor of 28545 and 28554?

Greatest common factor (GCF) of 28545 and 28554 is 3.

GCF(28545,28554) = 3

We will now calculate the prime factors of 28545 and 28554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28545 and 28554.

How to find the GCF of 28545 and 28554?

We will first find the prime factorization of 28545 and 28554. After we will calculate the factors of 28545 and 28554 and find the biggest common factor number .

Step-1: Prime Factorization of 28545

Prime factors of 28545 are 3, 5, 11, 173. Prime factorization of 28545 in exponential form is:

28545 = 3¹ × 5¹ × 11¹ × 173¹

Step-2: Prime Factorization of 28554

Prime factors of 28554 are 2, 3, 4759. Prime factorization of 28554 in exponential form is:

28554 = 2¹ × 3¹ × 4759¹

Step-3: Factors of 28545

List of positive integer factors of 28545 that divides 28545 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 173, 519, 865, 1903, 2595, 5709, 9515

Step-4: Factors of 28554

List of positive integer factors of 28554 that divides 28545 without a remainder.

1, 2, 3, 6, 4759, 9518, 14277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28545 and 28554. The biggest common factor number is the GCF number.
So the greatest common factor 28545 and 28554 is 3.

Also check out the Least Common Multiple of 28545 and 28554