What is the Greatest Common Factor of 54348 and 54364?

Greatest common factor (GCF) of 54348 and 54364 is 4.

GCF(54348,54364) = 4

We will now calculate the prime factors of 54348 and 54364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54348 and 54364.

How to find the GCF of 54348 and 54364?

We will first find the prime factorization of 54348 and 54364. After we will calculate the factors of 54348 and 54364 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 54364

Prime factors of 54364 are 2, 13591. Prime factorization of 54364 in exponential form is:

54364 = 2² × 13591¹

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 54364

List of positive integer factors of 54364 that divides 54348 without a remainder.

1, 2, 4, 13591, 27182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54348 and 54364. The biggest common factor number is the GCF number.
So the greatest common factor 54348 and 54364 is 4.

Also check out the Least Common Multiple of 54348 and 54364