What is the Greatest Common Factor of 54298 and 54309?

Greatest common factor (GCF) of 54298 and 54309 is 1.

GCF(54298,54309) = 1

We will now calculate the prime factors of 54298 and 54309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54298 and 54309.

How to find the GCF of 54298 and 54309?

We will first find the prime factorization of 54298 and 54309. After we will calculate the factors of 54298 and 54309 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 54309

Prime factors of 54309 are 3, 43, 421. Prime factorization of 54309 in exponential form is:

54309 = 3¹ × 43¹ × 421¹

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 54309

List of positive integer factors of 54309 that divides 54298 without a remainder.

1, 3, 43, 129, 421, 1263, 18103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54298 and 54309. The biggest common factor number is the GCF number.
So the greatest common factor 54298 and 54309 is 1.

Also check out the Least Common Multiple of 54298 and 54309