What is the Greatest Common Factor of 13554 and 13573?

Greatest common factor (GCF) of 13554 and 13573 is 1.

GCF(13554,13573) = 1

We will now calculate the prime factors of 13554 and 13573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13554 and 13573.

How to find the GCF of 13554 and 13573?

We will first find the prime factorization of 13554 and 13573. After we will calculate the factors of 13554 and 13573 and find the biggest common factor number .

Step-1: Prime Factorization of 13554

Prime factors of 13554 are 2, 3, 251. Prime factorization of 13554 in exponential form is:

13554 = 2¹ × 3³ × 251¹

Step-2: Prime Factorization of 13573

Prime factors of 13573 are 7, 277. Prime factorization of 13573 in exponential form is:

13573 = 7² × 277¹

Step-3: Factors of 13554

List of positive integer factors of 13554 that divides 13554 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 251, 502, 753, 1506, 2259, 4518, 6777

Step-4: Factors of 13573

List of positive integer factors of 13573 that divides 13554 without a remainder.

1, 7, 49, 277, 1939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13554 and 13573. The biggest common factor number is the GCF number.
So the greatest common factor 13554 and 13573 is 1.

Also check out the Least Common Multiple of 13554 and 13573