What is the Greatest Common Factor of 27066 and 27074?

Greatest common factor (GCF) of 27066 and 27074 is 2.

GCF(27066,27074) = 2

We will now calculate the prime factors of 27066 and 27074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27066 and 27074.

How to find the GCF of 27066 and 27074?

We will first find the prime factorization of 27066 and 27074. After we will calculate the factors of 27066 and 27074 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 27074

Prime factors of 27074 are 2, 13537. Prime factorization of 27074 in exponential form is:

27074 = 2¹ × 13537¹

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 27074

List of positive integer factors of 27074 that divides 27066 without a remainder.

1, 2, 13537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27066 and 27074. The biggest common factor number is the GCF number.
So the greatest common factor 27066 and 27074 is 2.

Also check out the Least Common Multiple of 27066 and 27074