What is the Greatest Common Factor of 27209 and 27215?

Greatest common factor (GCF) of 27209 and 27215 is 1.

GCF(27209,27215) = 1

We will now calculate the prime factors of 27209 and 27215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27209 and 27215.

How to find the GCF of 27209 and 27215?

We will first find the prime factorization of 27209 and 27215. After we will calculate the factors of 27209 and 27215 and find the biggest common factor number .

Step-1: Prime Factorization of 27209

Prime factors of 27209 are 7, 13, 23. Prime factorization of 27209 in exponential form is:

27209 = 7¹ × 13² × 23¹

Step-2: Prime Factorization of 27215

Prime factors of 27215 are 5, 5443. Prime factorization of 27215 in exponential form is:

27215 = 5¹ × 5443¹

Step-3: Factors of 27209

List of positive integer factors of 27209 that divides 27209 without a remainder.

1, 7, 13, 23, 91, 161, 169, 299, 1183, 2093, 3887

Step-4: Factors of 27215

List of positive integer factors of 27215 that divides 27209 without a remainder.

1, 5, 5443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27209 and 27215. The biggest common factor number is the GCF number.
So the greatest common factor 27209 and 27215 is 1.

Also check out the Least Common Multiple of 27209 and 27215