What is the Greatest Common Factor of 54348 and 54363?

Greatest common factor (GCF) of 54348 and 54363 is 3.

GCF(54348,54363) = 3

We will now calculate the prime factors of 54348 and 54363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54348 and 54363.

How to find the GCF of 54348 and 54363?

We will first find the prime factorization of 54348 and 54363. After we will calculate the factors of 54348 and 54363 and find the biggest common factor number .

Step-1: Prime Factorization of 54348

Prime factors of 54348 are 2, 3, 7, 647. Prime factorization of 54348 in exponential form is:

54348 = 2² × 3¹ × 7¹ × 647¹

Step-2: Prime Factorization of 54363

Prime factors of 54363 are 3, 18121. Prime factorization of 54363 in exponential form is:

54363 = 3¹ × 18121¹

Step-3: Factors of 54348

List of positive integer factors of 54348 that divides 54348 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 647, 1294, 1941, 2588, 3882, 4529, 7764, 9058, 13587, 18116, 27174

Step-4: Factors of 54363

List of positive integer factors of 54363 that divides 54348 without a remainder.

1, 3, 18121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54348 and 54363. The biggest common factor number is the GCF number.
So the greatest common factor 54348 and 54363 is 3.

Also check out the Least Common Multiple of 54348 and 54363