What is the Greatest Common Factor of 27219 and 27225?

Greatest common factor (GCF) of 27219 and 27225 is 3.

GCF(27219,27225) = 3

We will now calculate the prime factors of 27219 and 27225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27219 and 27225.

How to find the GCF of 27219 and 27225?

We will first find the prime factorization of 27219 and 27225. After we will calculate the factors of 27219 and 27225 and find the biggest common factor number .

Step-1: 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-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 27219

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

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

Step-4: Factors of 27225

List of positive integer factors of 27225 that divides 27219 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 27219 and 27225. The biggest common factor number is the GCF number.
So the greatest common factor 27219 and 27225 is 3.

Also check out the Least Common Multiple of 27219 and 27225