What is the Greatest Common Factor of 54195 and 54204?

Greatest common factor (GCF) of 54195 and 54204 is 3.

GCF(54195,54204) = 3

We will now calculate the prime factors of 54195 and 54204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54195 and 54204.

How to find the GCF of 54195 and 54204?

We will first find the prime factorization of 54195 and 54204. After we will calculate the factors of 54195 and 54204 and find the biggest common factor number .

Step-1: Prime Factorization of 54195

Prime factors of 54195 are 3, 5, 3613. Prime factorization of 54195 in exponential form is:

54195 = 3¹ × 5¹ × 3613¹

Step-2: Prime Factorization of 54204

Prime factors of 54204 are 2, 3, 4517. Prime factorization of 54204 in exponential form is:

54204 = 2² × 3¹ × 4517¹

Step-3: Factors of 54195

List of positive integer factors of 54195 that divides 54195 without a remainder.

1, 3, 5, 15, 3613, 10839, 18065

Step-4: Factors of 54204

List of positive integer factors of 54204 that divides 54195 without a remainder.

1, 2, 3, 4, 6, 12, 4517, 9034, 13551, 18068, 27102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54195 and 54204. The biggest common factor number is the GCF number.
So the greatest common factor 54195 and 54204 is 3.

Also check out the Least Common Multiple of 54195 and 54204