What is the Greatest Common Factor of 27005 and 27010?

Greatest common factor (GCF) of 27005 and 27010 is 5.

GCF(27005,27010) = 5

We will now calculate the prime factors of 27005 and 27010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27005 and 27010.

How to find the GCF of 27005 and 27010?

We will first find the prime factorization of 27005 and 27010. After we will calculate the factors of 27005 and 27010 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 27010

Prime factors of 27010 are 2, 5, 37, 73. Prime factorization of 27010 in exponential form is:

27010 = 2¹ × 5¹ × 37¹ × 73¹

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 27010

List of positive integer factors of 27010 that divides 27005 without a remainder.

1, 2, 5, 10, 37, 73, 74, 146, 185, 365, 370, 730, 2701, 5402, 13505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27005 and 27010. The biggest common factor number is the GCF number.
So the greatest common factor 27005 and 27010 is 5.

Also check out the Least Common Multiple of 27005 and 27010