What is the Greatest Common Factor of 54489 and 54495?

Greatest common factor (GCF) of 54489 and 54495 is 3.

GCF(54489,54495) = 3

We will now calculate the prime factors of 54489 and 54495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54489 and 54495.

How to find the GCF of 54489 and 54495?

We will first find the prime factorization of 54489 and 54495. After we will calculate the factors of 54489 and 54495 and find the biggest common factor number .

Step-1: Prime Factorization of 54489

Prime factors of 54489 are 3, 41, 443. Prime factorization of 54489 in exponential form is:

54489 = 3¹ × 41¹ × 443¹

Step-2: Prime Factorization of 54495

Prime factors of 54495 are 3, 5, 7, 173. Prime factorization of 54495 in exponential form is:

54495 = 3² × 5¹ × 7¹ × 173¹

Step-3: Factors of 54489

List of positive integer factors of 54489 that divides 54489 without a remainder.

1, 3, 41, 123, 443, 1329, 18163

Step-4: Factors of 54495

List of positive integer factors of 54495 that divides 54489 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 173, 315, 519, 865, 1211, 1557, 2595, 3633, 6055, 7785, 10899, 18165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54489 and 54495. The biggest common factor number is the GCF number.
So the greatest common factor 54489 and 54495 is 3.

Also check out the Least Common Multiple of 54489 and 54495