What is the Greatest Common Factor of 48543 and 48555?

Greatest common factor (GCF) of 48543 and 48555 is 3.

GCF(48543,48555) = 3

We will now calculate the prime factors of 48543 and 48555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48543 and 48555.

How to find the GCF of 48543 and 48555?

We will first find the prime factorization of 48543 and 48555. After we will calculate the factors of 48543 and 48555 and find the biggest common factor number .

Step-1: Prime Factorization of 48543

Prime factors of 48543 are 3, 11, 1471. Prime factorization of 48543 in exponential form is:

48543 = 3¹ × 11¹ × 1471¹

Step-2: Prime Factorization of 48555

Prime factors of 48555 are 3, 5, 13, 83. Prime factorization of 48555 in exponential form is:

48555 = 3² × 5¹ × 13¹ × 83¹

Step-3: Factors of 48543

List of positive integer factors of 48543 that divides 48543 without a remainder.

1, 3, 11, 33, 1471, 4413, 16181

Step-4: Factors of 48555

List of positive integer factors of 48555 that divides 48543 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 83, 117, 195, 249, 415, 585, 747, 1079, 1245, 3237, 3735, 5395, 9711, 16185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48543 and 48555. The biggest common factor number is the GCF number.
So the greatest common factor 48543 and 48555 is 3.

Also check out the Least Common Multiple of 48543 and 48555