What is the Greatest Common Factor of 27209 and 27225?

Greatest common factor (GCF) of 27209 and 27225 is 1.

GCF(27209,27225) = 1

We will now calculate the prime factors of 27209 and 27225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27209 and 27225.

How to find the GCF of 27209 and 27225?

We will first find the prime factorization of 27209 and 27225. After we will calculate the factors of 27209 and 27225 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 27225

Prime factors of 27225 are 3, 5, 11. Prime factorization of 27225 in exponential form is:

27225 = 3² × 5² × 11²

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 27225

List of positive integer factors of 27225 that divides 27209 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 121, 165, 225, 275, 363, 495, 605, 825, 1089, 1815, 2475, 3025, 5445, 9075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27209 and 27225. The biggest common factor number is the GCF number.
So the greatest common factor 27209 and 27225 is 1.

Also check out the Least Common Multiple of 27209 and 27225