What is the Greatest Common Factor of 15537 and 15543?

Greatest common factor (GCF) of 15537 and 15543 is 3.

GCF(15537,15543) = 3

We will now calculate the prime factors of 15537 and 15543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15537 and 15543.

How to find the GCF of 15537 and 15543?

We will first find the prime factorization of 15537 and 15543. After we will calculate the factors of 15537 and 15543 and find the biggest common factor number .

Step-1: Prime Factorization of 15537

Prime factors of 15537 are 3, 5179. Prime factorization of 15537 in exponential form is:

15537 = 3¹ × 5179¹

Step-2: Prime Factorization of 15543

Prime factors of 15543 are 3, 11, 157. Prime factorization of 15543 in exponential form is:

15543 = 3² × 11¹ × 157¹

Step-3: Factors of 15537

List of positive integer factors of 15537 that divides 15537 without a remainder.

1, 3, 5179

Step-4: Factors of 15543

List of positive integer factors of 15543 that divides 15537 without a remainder.

1, 3, 9, 11, 33, 99, 157, 471, 1413, 1727, 5181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15537 and 15543. The biggest common factor number is the GCF number.
So the greatest common factor 15537 and 15543 is 3.

Also check out the Least Common Multiple of 15537 and 15543