What is the Greatest Common Factor of 27209 and 27219?

Greatest common factor (GCF) of 27209 and 27219 is 1.

GCF(27209,27219) = 1

We will now calculate the prime factors of 27209 and 27219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27209 and 27219.

How to find the GCF of 27209 and 27219?

We will first find the prime factorization of 27209 and 27219. After we will calculate the factors of 27209 and 27219 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 27219

Prime factors of 27219 are 3, 43, 211. Prime factorization of 27219 in exponential form is:

27219 = 3¹ × 43¹ × 211¹

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 27219

List of positive integer factors of 27219 that divides 27209 without a remainder.

1, 3, 43, 129, 211, 633, 9073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27209 and 27219. The biggest common factor number is the GCF number.
So the greatest common factor 27209 and 27219 is 1.

Also check out the Least Common Multiple of 27209 and 27219