What is the Greatest Common Factor of 27069 and 27087?

Greatest common factor (GCF) of 27069 and 27087 is 3.

GCF(27069,27087) = 3

We will now calculate the prime factors of 27069 and 27087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27069 and 27087.

How to find the GCF of 27069 and 27087?

We will first find the prime factorization of 27069 and 27087. After we will calculate the factors of 27069 and 27087 and find the biggest common factor number .

Step-1: Prime Factorization of 27069

Prime factors of 27069 are 3, 7, 1289. Prime factorization of 27069 in exponential form is:

27069 = 3¹ × 7¹ × 1289¹

Step-2: Prime Factorization of 27087

Prime factors of 27087 are 3, 9029. Prime factorization of 27087 in exponential form is:

27087 = 3¹ × 9029¹

Step-3: Factors of 27069

List of positive integer factors of 27069 that divides 27069 without a remainder.

1, 3, 7, 21, 1289, 3867, 9023

Step-4: Factors of 27087

List of positive integer factors of 27087 that divides 27069 without a remainder.

1, 3, 9029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27069 and 27087. The biggest common factor number is the GCF number.
So the greatest common factor 27069 and 27087 is 3.

Also check out the Least Common Multiple of 27069 and 27087