What is the Greatest Common Factor of 64340 and 64346?

Greatest common factor (GCF) of 64340 and 64346 is 2.

GCF(64340,64346) = 2

We will now calculate the prime factors of 64340 and 64346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64340 and 64346.

How to find the GCF of 64340 and 64346?

We will first find the prime factorization of 64340 and 64346. After we will calculate the factors of 64340 and 64346 and find the biggest common factor number .

Step-1: Prime Factorization of 64340

Prime factors of 64340 are 2, 5, 3217. Prime factorization of 64340 in exponential form is:

64340 = 2² × 5¹ × 3217¹

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 64340

List of positive integer factors of 64340 that divides 64340 without a remainder.

1, 2, 4, 5, 10, 20, 3217, 6434, 12868, 16085, 32170

Step-4: Factors of 64346

List of positive integer factors of 64346 that divides 64340 without a remainder.

1, 2, 32173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64340 and 64346. The biggest common factor number is the GCF number.
So the greatest common factor 64340 and 64346 is 2.

Also check out the Least Common Multiple of 64340 and 64346