What is the Greatest Common Factor of 54348 and 54368?

Greatest common factor (GCF) of 54348 and 54368 is 4.

GCF(54348,54368) = 4

We will now calculate the prime factors of 54348 and 54368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54348 and 54368.

How to find the GCF of 54348 and 54368?

We will first find the prime factorization of 54348 and 54368. After we will calculate the factors of 54348 and 54368 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 54368

Prime factors of 54368 are 2, 1699. Prime factorization of 54368 in exponential form is:

54368 = 2⁵ × 1699¹

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 54368

List of positive integer factors of 54368 that divides 54348 without a remainder.

1, 2, 4, 8, 16, 32, 1699, 3398, 6796, 13592, 27184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54348 and 54368. The biggest common factor number is the GCF number.
So the greatest common factor 54348 and 54368 is 4.

Also check out the Least Common Multiple of 54348 and 54368