What is the Greatest Common Factor of 54348 and 54355?

Greatest common factor (GCF) of 54348 and 54355 is 7.

GCF(54348,54355) = 7

We will now calculate the prime factors of 54348 and 54355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54348 and 54355.

How to find the GCF of 54348 and 54355?

We will first find the prime factorization of 54348 and 54355. After we will calculate the factors of 54348 and 54355 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 54355

Prime factors of 54355 are 5, 7, 1553. Prime factorization of 54355 in exponential form is:

54355 = 5¹ × 7¹ × 1553¹

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 54355

List of positive integer factors of 54355 that divides 54348 without a remainder.

1, 5, 7, 35, 1553, 7765, 10871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54348 and 54355. The biggest common factor number is the GCF number.
So the greatest common factor 54348 and 54355 is 7.

Also check out the Least Common Multiple of 54348 and 54355