What is the Greatest Common Factor of 64209 and 64227?

Greatest common factor (GCF) of 64209 and 64227 is 3.

GCF(64209,64227) = 3

We will now calculate the prime factors of 64209 and 64227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64209 and 64227.

How to find the GCF of 64209 and 64227?

We will first find the prime factorization of 64209 and 64227. After we will calculate the factors of 64209 and 64227 and find the biggest common factor number .

Step-1: Prime Factorization of 64209

Prime factors of 64209 are 3, 17, 1259. Prime factorization of 64209 in exponential form is:

64209 = 3¹ × 17¹ × 1259¹

Step-2: Prime Factorization of 64227

Prime factors of 64227 are 3, 79, 271. Prime factorization of 64227 in exponential form is:

64227 = 3¹ × 79¹ × 271¹

Step-3: Factors of 64209

List of positive integer factors of 64209 that divides 64209 without a remainder.

1, 3, 17, 51, 1259, 3777, 21403

Step-4: Factors of 64227

List of positive integer factors of 64227 that divides 64209 without a remainder.

1, 3, 79, 237, 271, 813, 21409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64209 and 64227. The biggest common factor number is the GCF number.
So the greatest common factor 64209 and 64227 is 3.

Also check out the Least Common Multiple of 64209 and 64227