What is the Greatest Common Factor of 13566 and 13573?

Greatest common factor (GCF) of 13566 and 13573 is 7.

GCF(13566,13573) = 7

We will now calculate the prime factors of 13566 and 13573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13566 and 13573.

How to find the GCF of 13566 and 13573?

We will first find the prime factorization of 13566 and 13573. After we will calculate the factors of 13566 and 13573 and find the biggest common factor number .

Step-1: Prime Factorization of 13566

Prime factors of 13566 are 2, 3, 7, 17, 19. Prime factorization of 13566 in exponential form is:

13566 = 2¹ × 3¹ × 7¹ × 17¹ × 19¹

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 13566

List of positive integer factors of 13566 that divides 13566 without a remainder.

1, 2, 3, 6, 7, 14, 17, 19, 21, 34, 38, 42, 51, 57, 102, 114, 119, 133, 238, 266, 323, 357, 399, 646, 714, 798, 969, 1938, 2261, 4522, 6783

Step-4: Factors of 13573

List of positive integer factors of 13573 that divides 13566 without a remainder.

1, 7, 49, 277, 1939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13566 and 13573. The biggest common factor number is the GCF number.
So the greatest common factor 13566 and 13573 is 7.

Also check out the Least Common Multiple of 13566 and 13573