What is the Greatest Common Factor of 27005 and 27015?

Greatest common factor (GCF) of 27005 and 27015 is 5.

GCF(27005,27015) = 5

We will now calculate the prime factors of 27005 and 27015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27005 and 27015.

How to find the GCF of 27005 and 27015?

We will first find the prime factorization of 27005 and 27015. After we will calculate the factors of 27005 and 27015 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27015

Prime factors of 27015 are 3, 5, 1801. Prime factorization of 27015 in exponential form is:

27015 = 3¹ × 5¹ × 1801¹

Step-3: Factors of 27005

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

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

Step-4: Factors of 27015

List of positive integer factors of 27015 that divides 27005 without a remainder.

1, 3, 5, 15, 1801, 5403, 9005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27005 and 27015. The biggest common factor number is the GCF number.
So the greatest common factor 27005 and 27015 is 5.

Also check out the Least Common Multiple of 27005 and 27015