What is the Greatest Common Factor of 64269 and 64277?

Greatest common factor (GCF) of 64269 and 64277 is 1.

GCF(64269,64277) = 1

We will now calculate the prime factors of 64269 and 64277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64269 and 64277.

How to find the GCF of 64269 and 64277?

We will first find the prime factorization of 64269 and 64277. After we will calculate the factors of 64269 and 64277 and find the biggest common factor number .

Step-1: Prime Factorization of 64269

Prime factors of 64269 are 3, 37, 193. Prime factorization of 64269 in exponential form is:

64269 = 3² × 37¹ × 193¹

Step-2: Prime Factorization of 64277

Prime factors of 64277 are 17, 19, 199. Prime factorization of 64277 in exponential form is:

64277 = 17¹ × 19¹ × 199¹

Step-3: Factors of 64269

List of positive integer factors of 64269 that divides 64269 without a remainder.

1, 3, 9, 37, 111, 193, 333, 579, 1737, 7141, 21423

Step-4: Factors of 64277

List of positive integer factors of 64277 that divides 64269 without a remainder.

1, 17, 19, 199, 323, 3383, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64269 and 64277. The biggest common factor number is the GCF number.
So the greatest common factor 64269 and 64277 is 1.

Also check out the Least Common Multiple of 64269 and 64277