What is the Greatest Common Factor of 26994 and 27005?

Greatest common factor (GCF) of 26994 and 27005 is 11.

GCF(26994,27005) = 11

We will now calculate the prime factors of 26994 and 27005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26994 and 27005.

How to find the GCF of 26994 and 27005?

We will first find the prime factorization of 26994 and 27005. After we will calculate the factors of 26994 and 27005 and find the biggest common factor number .

Step-1: Prime Factorization of 26994

Prime factors of 26994 are 2, 3, 11, 409. Prime factorization of 26994 in exponential form is:

26994 = 2¹ × 3¹ × 11¹ × 409¹

Step-2: Prime Factorization of 27005

Prime factors of 27005 are 5, 11, 491. Prime factorization of 27005 in exponential form is:

27005 = 5¹ × 11¹ × 491¹

Step-3: Factors of 26994

List of positive integer factors of 26994 that divides 26994 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 409, 818, 1227, 2454, 4499, 8998, 13497

Step-4: Factors of 27005

List of positive integer factors of 27005 that divides 26994 without a remainder.

1, 5, 11, 55, 491, 2455, 5401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26994 and 27005. The biggest common factor number is the GCF number.
So the greatest common factor 26994 and 27005 is 11.

Also check out the Least Common Multiple of 26994 and 27005