What is the Greatest Common Factor of 15533 and 15547?

Greatest common factor (GCF) of 15533 and 15547 is 7.

GCF(15533,15547) = 7

We will now calculate the prime factors of 15533 and 15547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15533 and 15547.

How to find the GCF of 15533 and 15547?

We will first find the prime factorization of 15533 and 15547. After we will calculate the factors of 15533 and 15547 and find the biggest common factor number .

Step-1: Prime Factorization of 15533

Prime factors of 15533 are 7, 317. Prime factorization of 15533 in exponential form is:

15533 = 7² × 317¹

Step-2: Prime Factorization of 15547

Prime factors of 15547 are 7, 2221. Prime factorization of 15547 in exponential form is:

15547 = 7¹ × 2221¹

Step-3: Factors of 15533

List of positive integer factors of 15533 that divides 15533 without a remainder.

1, 7, 49, 317, 2219

Step-4: Factors of 15547

List of positive integer factors of 15547 that divides 15533 without a remainder.

1, 7, 2221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15533 and 15547. The biggest common factor number is the GCF number.
So the greatest common factor 15533 and 15547 is 7.

Also check out the Least Common Multiple of 15533 and 15547