What is the Greatest Common Factor of 64239 and 64257?

Greatest common factor (GCF) of 64239 and 64257 is 3.

GCF(64239,64257) = 3

We will now calculate the prime factors of 64239 and 64257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64239 and 64257.

How to find the GCF of 64239 and 64257?

We will first find the prime factorization of 64239 and 64257. After we will calculate the factors of 64239 and 64257 and find the biggest common factor number .

Step-1: Prime Factorization of 64239

Prime factors of 64239 are 3, 7, 19, 23. Prime factorization of 64239 in exponential form is:

64239 = 3¹ × 7² × 19¹ × 23¹

Step-2: Prime Factorization of 64257

Prime factors of 64257 are 3, 21419. Prime factorization of 64257 in exponential form is:

64257 = 3¹ × 21419¹

Step-3: Factors of 64239

List of positive integer factors of 64239 that divides 64239 without a remainder.

1, 3, 7, 19, 21, 23, 49, 57, 69, 133, 147, 161, 399, 437, 483, 931, 1127, 1311, 2793, 3059, 3381, 9177, 21413

Step-4: Factors of 64257

List of positive integer factors of 64257 that divides 64239 without a remainder.

1, 3, 21419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64239 and 64257. The biggest common factor number is the GCF number.
So the greatest common factor 64239 and 64257 is 3.

Also check out the Least Common Multiple of 64239 and 64257