What is the Greatest Common Factor of 54315 and 54332?

Greatest common factor (GCF) of 54315 and 54332 is 17.

GCF(54315,54332) = 17

We will now calculate the prime factors of 54315 and 54332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54315 and 54332.

How to find the GCF of 54315 and 54332?

We will first find the prime factorization of 54315 and 54332. After we will calculate the factors of 54315 and 54332 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 54332

Prime factors of 54332 are 2, 17, 47. Prime factorization of 54332 in exponential form is:

54332 = 2² × 17² × 47¹

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 54332

List of positive integer factors of 54332 that divides 54315 without a remainder.

1, 2, 4, 17, 34, 47, 68, 94, 188, 289, 578, 799, 1156, 1598, 3196, 13583, 27166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54315 and 54332. The biggest common factor number is the GCF number.
So the greatest common factor 54315 and 54332 is 17.

Also check out the Least Common Multiple of 54315 and 54332