What is the Greatest Common Factor of 54195 and 54205?

Greatest common factor (GCF) of 54195 and 54205 is 5.

GCF(54195,54205) = 5

We will now calculate the prime factors of 54195 and 54205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54195 and 54205.

How to find the GCF of 54195 and 54205?

We will first find the prime factorization of 54195 and 54205. After we will calculate the factors of 54195 and 54205 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 54205

Prime factors of 54205 are 5, 37, 293. Prime factorization of 54205 in exponential form is:

54205 = 5¹ × 37¹ × 293¹

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 54205

List of positive integer factors of 54205 that divides 54195 without a remainder.

1, 5, 37, 185, 293, 1465, 10841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54195 and 54205. The biggest common factor number is the GCF number.
So the greatest common factor 54195 and 54205 is 5.

Also check out the Least Common Multiple of 54195 and 54205