What is the Greatest Common Factor of 54309 and 54314?

Greatest common factor (GCF) of 54309 and 54314 is 1.

GCF(54309,54314) = 1

We will now calculate the prime factors of 54309 and 54314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54309 and 54314.

How to find the GCF of 54309 and 54314?

We will first find the prime factorization of 54309 and 54314. After we will calculate the factors of 54309 and 54314 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54314

Prime factors of 54314 are 2, 13, 2089. Prime factorization of 54314 in exponential form is:

54314 = 2¹ × 13¹ × 2089¹

Step-3: Factors of 54309

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

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

Step-4: Factors of 54314

List of positive integer factors of 54314 that divides 54309 without a remainder.

1, 2, 13, 26, 2089, 4178, 27157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54309 and 54314. The biggest common factor number is the GCF number.
So the greatest common factor 54309 and 54314 is 1.

Also check out the Least Common Multiple of 54309 and 54314