What is the Greatest Common Factor of 15549 and 15563?

Greatest common factor (GCF) of 15549 and 15563 is 1.

GCF(15549,15563) = 1

We will now calculate the prime factors of 15549 and 15563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15549 and 15563.

How to find the GCF of 15549 and 15563?

We will first find the prime factorization of 15549 and 15563. After we will calculate the factors of 15549 and 15563 and find the biggest common factor number .

Step-1: Prime Factorization of 15549

Prime factors of 15549 are 3, 71, 73. Prime factorization of 15549 in exponential form is:

15549 = 3¹ × 71¹ × 73¹

Step-2: Prime Factorization of 15563

Prime factors of 15563 are 79, 197. Prime factorization of 15563 in exponential form is:

15563 = 79¹ × 197¹

Step-3: Factors of 15549

List of positive integer factors of 15549 that divides 15549 without a remainder.

1, 3, 71, 73, 213, 219, 5183

Step-4: Factors of 15563

List of positive integer factors of 15563 that divides 15549 without a remainder.

1, 79, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15549 and 15563. The biggest common factor number is the GCF number.
So the greatest common factor 15549 and 15563 is 1.

Also check out the Least Common Multiple of 15549 and 15563