What is the Greatest Common Factor of 54298 and 54315?

Greatest common factor (GCF) of 54298 and 54315 is 17.

GCF(54298,54315) = 17

We will now calculate the prime factors of 54298 and 54315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54298 and 54315.

How to find the GCF of 54298 and 54315?

We will first find the prime factorization of 54298 and 54315. After we will calculate the factors of 54298 and 54315 and find the biggest common factor number .

Step-1: Prime Factorization of 54298

Prime factors of 54298 are 2, 17, 1597. Prime factorization of 54298 in exponential form is:

54298 = 2¹ × 17¹ × 1597¹

Step-2: 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-3: Factors of 54298

List of positive integer factors of 54298 that divides 54298 without a remainder.

1, 2, 17, 34, 1597, 3194, 27149

Step-4: Factors of 54315

List of positive integer factors of 54315 that divides 54298 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54298 and 54315. The biggest common factor number is the GCF number.
So the greatest common factor 54298 and 54315 is 17.

Also check out the Least Common Multiple of 54298 and 54315