What is the Greatest Common Factor of 54314 and 54332?

Greatest common factor (GCF) of 54314 and 54332 is 2.

GCF(54314,54332) = 2

We will now calculate the prime factors of 54314 and 54332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54314 and 54332.

How to find the GCF of 54314 and 54332?

We will first find the prime factorization of 54314 and 54332. After we will calculate the factors of 54314 and 54332 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 54332

Prime factors of 54332 are 2, 17, 47. Prime factorization of 54332 in exponential form is:

54332 = 2² × 17² × 47¹

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 54332

List of positive integer factors of 54332 that divides 54314 without a remainder.

1, 2, 4, 17, 34, 47, 68, 94, 188, 289, 578, 799, 1156, 1598, 3196, 13583, 27166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54314 and 54332. The biggest common factor number is the GCF number.
So the greatest common factor 54314 and 54332 is 2.

Also check out the Least Common Multiple of 54314 and 54332