What is the Greatest Common Factor of 66342 and 66346?

Greatest common factor (GCF) of 66342 and 66346 is 2.

GCF(66342,66346) = 2

We will now calculate the prime factors of 66342 and 66346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66342 and 66346.

How to find the GCF of 66342 and 66346?

We will first find the prime factorization of 66342 and 66346. After we will calculate the factors of 66342 and 66346 and find the biggest common factor number .

Step-1: Prime Factorization of 66342

Prime factors of 66342 are 2, 3, 11057. Prime factorization of 66342 in exponential form is:

66342 = 2¹ × 3¹ × 11057¹

Step-2: Prime Factorization of 66346

Prime factors of 66346 are 2, 7, 677. Prime factorization of 66346 in exponential form is:

66346 = 2¹ × 7² × 677¹

Step-3: Factors of 66342

List of positive integer factors of 66342 that divides 66342 without a remainder.

1, 2, 3, 6, 11057, 22114, 33171

Step-4: Factors of 66346

List of positive integer factors of 66346 that divides 66342 without a remainder.

1, 2, 7, 14, 49, 98, 677, 1354, 4739, 9478, 33173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66342 and 66346. The biggest common factor number is the GCF number.
So the greatest common factor 66342 and 66346 is 2.

Also check out the Least Common Multiple of 66342 and 66346