What is the Greatest Common Factor of 54315 and 54325?

Greatest common factor (GCF) of 54315 and 54325 is 5.

GCF(54315,54325) = 5

We will now calculate the prime factors of 54315 and 54325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54315 and 54325.

How to find the GCF of 54315 and 54325?

We will first find the prime factorization of 54315 and 54325. After we will calculate the factors of 54315 and 54325 and find the biggest common factor number .

Step-1: Prime Factorization of 54315

Prime factors of 54315 are 3, 5, 17, 71. Prime factorization of 54315 in exponential form is:

54315 = 3² × 5¹ × 17¹ × 71¹

Step-2: Prime Factorization of 54325

Prime factors of 54325 are 5, 41, 53. Prime factorization of 54325 in exponential form is:

54325 = 5² × 41¹ × 53¹

Step-3: Factors of 54315

List of positive integer factors of 54315 that divides 54315 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 71, 85, 153, 213, 255, 355, 639, 765, 1065, 1207, 3195, 3621, 6035, 10863, 18105

Step-4: Factors of 54325

List of positive integer factors of 54325 that divides 54315 without a remainder.

1, 5, 25, 41, 53, 205, 265, 1025, 1325, 2173, 10865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54315 and 54325. The biggest common factor number is the GCF number.
So the greatest common factor 54315 and 54325 is 5.

Also check out the Least Common Multiple of 54315 and 54325