What is the Greatest Common Factor of 27066 and 27079?

Greatest common factor (GCF) of 27066 and 27079 is 13.

GCF(27066,27079) = 13

We will now calculate the prime factors of 27066 and 27079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27066 and 27079.

How to find the GCF of 27066 and 27079?

We will first find the prime factorization of 27066 and 27079. After we will calculate the factors of 27066 and 27079 and find the biggest common factor number .

Step-1: Prime Factorization of 27066

Prime factors of 27066 are 2, 3, 13, 347. Prime factorization of 27066 in exponential form is:

27066 = 2¹ × 3¹ × 13¹ × 347¹

Step-2: Prime Factorization of 27079

Prime factors of 27079 are 13, 2083. Prime factorization of 27079 in exponential form is:

27079 = 13¹ × 2083¹

Step-3: Factors of 27066

List of positive integer factors of 27066 that divides 27066 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 347, 694, 1041, 2082, 4511, 9022, 13533

Step-4: Factors of 27079

List of positive integer factors of 27079 that divides 27066 without a remainder.

1, 13, 2083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27066 and 27079. The biggest common factor number is the GCF number.
So the greatest common factor 27066 and 27079 is 13.

Also check out the Least Common Multiple of 27066 and 27079