What is the Greatest Common Factor of 54314 and 54328?

Greatest common factor (GCF) of 54314 and 54328 is 2.

GCF(54314,54328) = 2

We will now calculate the prime factors of 54314 and 54328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54314 and 54328.

How to find the GCF of 54314 and 54328?

We will first find the prime factorization of 54314 and 54328. After we will calculate the factors of 54314 and 54328 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54328

Prime factors of 54328 are 2, 6791. Prime factorization of 54328 in exponential form is:

54328 = 2³ × 6791¹

Step-3: Factors of 54314

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

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

Step-4: Factors of 54328

List of positive integer factors of 54328 that divides 54314 without a remainder.

1, 2, 4, 8, 6791, 13582, 27164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54314 and 54328. The biggest common factor number is the GCF number.
So the greatest common factor 54314 and 54328 is 2.

Also check out the Least Common Multiple of 54314 and 54328