What is the Greatest Common Factor of 54314 and 54334?

Greatest common factor (GCF) of 54314 and 54334 is 2.

GCF(54314,54334) = 2

We will now calculate the prime factors of 54314 and 54334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54314 and 54334.

How to find the GCF of 54314 and 54334?

We will first find the prime factorization of 54314 and 54334. After we will calculate the factors of 54314 and 54334 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 54334

Prime factors of 54334 are 2, 7, 3881. Prime factorization of 54334 in exponential form is:

54334 = 2¹ × 7¹ × 3881¹

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 54334

List of positive integer factors of 54334 that divides 54314 without a remainder.

1, 2, 7, 14, 3881, 7762, 27167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54314 and 54334. The biggest common factor number is the GCF number.
So the greatest common factor 54314 and 54334 is 2.

Also check out the Least Common Multiple of 54314 and 54334