What is the Greatest Common Factor of 27145 and 27165?

Greatest common factor (GCF) of 27145 and 27165 is 5.

GCF(27145,27165) = 5

We will now calculate the prime factors of 27145 and 27165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27145 and 27165.

How to find the GCF of 27145 and 27165?

We will first find the prime factorization of 27145 and 27165. After we will calculate the factors of 27145 and 27165 and find the biggest common factor number .

Step-1: Prime Factorization of 27145

Prime factors of 27145 are 5, 61, 89. Prime factorization of 27145 in exponential form is:

27145 = 5¹ × 61¹ × 89¹

Step-2: Prime Factorization of 27165

Prime factors of 27165 are 3, 5, 1811. Prime factorization of 27165 in exponential form is:

27165 = 3¹ × 5¹ × 1811¹

Step-3: Factors of 27145

List of positive integer factors of 27145 that divides 27145 without a remainder.

1, 5, 61, 89, 305, 445, 5429

Step-4: Factors of 27165

List of positive integer factors of 27165 that divides 27145 without a remainder.

1, 3, 5, 15, 1811, 5433, 9055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27145 and 27165. The biggest common factor number is the GCF number.
So the greatest common factor 27145 and 27165 is 5.

Also check out the Least Common Multiple of 27145 and 27165