What is the Greatest Common Factor of 54306 and 54322?

Greatest common factor (GCF) of 54306 and 54322 is 2.

GCF(54306,54322) = 2

We will now calculate the prime factors of 54306 and 54322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54306 and 54322.

How to find the GCF of 54306 and 54322?

We will first find the prime factorization of 54306 and 54322. After we will calculate the factors of 54306 and 54322 and find the biggest common factor number .

Step-1: Prime Factorization of 54306

Prime factors of 54306 are 2, 3, 7, 431. Prime factorization of 54306 in exponential form is:

54306 = 2¹ × 3² × 7¹ × 431¹

Step-2: Prime Factorization of 54322

Prime factors of 54322 are 2, 157, 173. Prime factorization of 54322 in exponential form is:

54322 = 2¹ × 157¹ × 173¹

Step-3: Factors of 54306

List of positive integer factors of 54306 that divides 54306 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 431, 862, 1293, 2586, 3017, 3879, 6034, 7758, 9051, 18102, 27153

Step-4: Factors of 54322

List of positive integer factors of 54322 that divides 54306 without a remainder.

1, 2, 157, 173, 314, 346, 27161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54306 and 54322. The biggest common factor number is the GCF number.
So the greatest common factor 54306 and 54322 is 2.

Also check out the Least Common Multiple of 54306 and 54322