What is the Greatest Common Factor of 27573 and 27586?

Greatest common factor (GCF) of 27573 and 27586 is 13.

GCF(27573,27586) = 13

We will now calculate the prime factors of 27573 and 27586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27573 and 27586.

How to find the GCF of 27573 and 27586?

We will first find the prime factorization of 27573 and 27586. After we will calculate the factors of 27573 and 27586 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27586

Prime factors of 27586 are 2, 13, 1061. Prime factorization of 27586 in exponential form is:

27586 = 2¹ × 13¹ × 1061¹

Step-3: Factors of 27573

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

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

Step-4: Factors of 27586

List of positive integer factors of 27586 that divides 27573 without a remainder.

1, 2, 13, 26, 1061, 2122, 13793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27573 and 27586. The biggest common factor number is the GCF number.
So the greatest common factor 27573 and 27586 is 13.

Also check out the Least Common Multiple of 27573 and 27586