What is the Greatest Common Factor of 64209 and 64226?

Greatest common factor (GCF) of 64209 and 64226 is 17.

GCF(64209,64226) = 17

We will now calculate the prime factors of 64209 and 64226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64209 and 64226.

How to find the GCF of 64209 and 64226?

We will first find the prime factorization of 64209 and 64226. After we will calculate the factors of 64209 and 64226 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 64226

Prime factors of 64226 are 2, 17, 1889. Prime factorization of 64226 in exponential form is:

64226 = 2¹ × 17¹ × 1889¹

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 64226

List of positive integer factors of 64226 that divides 64209 without a remainder.

1, 2, 17, 34, 1889, 3778, 32113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64209 and 64226. The biggest common factor number is the GCF number.
So the greatest common factor 64209 and 64226 is 17.

Also check out the Least Common Multiple of 64209 and 64226