What is the Greatest Common Factor of 64338 and 64346?

Greatest common factor (GCF) of 64338 and 64346 is 2.

GCF(64338,64346) = 2

We will now calculate the prime factors of 64338 and 64346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64338 and 64346.

How to find the GCF of 64338 and 64346?

We will first find the prime factorization of 64338 and 64346. After we will calculate the factors of 64338 and 64346 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 64346

Prime factors of 64346 are 2, 32173. Prime factorization of 64346 in exponential form is:

64346 = 2¹ × 32173¹

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 64346

List of positive integer factors of 64346 that divides 64338 without a remainder.

1, 2, 32173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64338 and 64346. The biggest common factor number is the GCF number.
So the greatest common factor 64338 and 64346 is 2.

Also check out the Least Common Multiple of 64338 and 64346