What is the Greatest Common Factor of 64338 and 64343?

Greatest common factor (GCF) of 64338 and 64343 is 1.

GCF(64338,64343) = 1

We will now calculate the prime factors of 64338 and 64343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64338 and 64343.

How to find the GCF of 64338 and 64343?

We will first find the prime factorization of 64338 and 64343. After we will calculate the factors of 64338 and 64343 and find the biggest common factor number .

Step-1: Prime Factorization of 64338

Prime factors of 64338 are 2, 3, 10723. Prime factorization of 64338 in exponential form is:

64338 = 2¹ × 3¹ × 10723¹

Step-2: Prime Factorization of 64343

Prime factors of 64343 are 37, 47. Prime factorization of 64343 in exponential form is:

64343 = 37² × 47¹

Step-3: Factors of 64338

List of positive integer factors of 64338 that divides 64338 without a remainder.

1, 2, 3, 6, 10723, 21446, 32169

Step-4: Factors of 64343

List of positive integer factors of 64343 that divides 64338 without a remainder.

1, 37, 47, 1369, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64338 and 64343. The biggest common factor number is the GCF number.
So the greatest common factor 64338 and 64343 is 1.

Also check out the Least Common Multiple of 64338 and 64343