What is the Greatest Common Factor of 27566 and 27573?

Greatest common factor (GCF) of 27566 and 27573 is 7.

GCF(27566,27573) = 7

We will now calculate the prime factors of 27566 and 27573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27566 and 27573.

How to find the GCF of 27566 and 27573?

We will first find the prime factorization of 27566 and 27573. After we will calculate the factors of 27566 and 27573 and find the biggest common factor number .

Step-1: Prime Factorization of 27566

Prime factors of 27566 are 2, 7, 11, 179. Prime factorization of 27566 in exponential form is:

27566 = 2¹ × 7¹ × 11¹ × 179¹

Step-2: Prime Factorization of 27573

Prime factors of 27573 are 3, 7, 13, 101. Prime factorization of 27573 in exponential form is:

27573 = 3¹ × 7¹ × 13¹ × 101¹

Step-3: Factors of 27566

List of positive integer factors of 27566 that divides 27566 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 179, 358, 1253, 1969, 2506, 3938, 13783

Step-4: Factors of 27573

List of positive integer factors of 27573 that divides 27566 without a remainder.

1, 3, 7, 13, 21, 39, 91, 101, 273, 303, 707, 1313, 2121, 3939, 9191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27566 and 27573. The biggest common factor number is the GCF number.
So the greatest common factor 27566 and 27573 is 7.

Also check out the Least Common Multiple of 27566 and 27573