What is the Greatest Common Factor of 27149 and 27166?

Greatest common factor (GCF) of 27149 and 27166 is 17.

GCF(27149,27166) = 17

We will now calculate the prime factors of 27149 and 27166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27149 and 27166.

How to find the GCF of 27149 and 27166?

We will first find the prime factorization of 27149 and 27166. After we will calculate the factors of 27149 and 27166 and find the biggest common factor number .

Step-1: Prime Factorization of 27149

Prime factors of 27149 are 17, 1597. Prime factorization of 27149 in exponential form is:

27149 = 17¹ × 1597¹

Step-2: Prime Factorization of 27166

Prime factors of 27166 are 2, 17, 47. Prime factorization of 27166 in exponential form is:

27166 = 2¹ × 17² × 47¹

Step-3: Factors of 27149

List of positive integer factors of 27149 that divides 27149 without a remainder.

1, 17, 1597

Step-4: Factors of 27166

List of positive integer factors of 27166 that divides 27149 without a remainder.

1, 2, 17, 34, 47, 94, 289, 578, 799, 1598, 13583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27149 and 27166. The biggest common factor number is the GCF number.
So the greatest common factor 27149 and 27166 is 17.

Also check out the Least Common Multiple of 27149 and 27166