What is the Greatest Common Factor of 67338 and 67346?

Greatest common factor (GCF) of 67338 and 67346 is 2.

GCF(67338,67346) = 2

We will now calculate the prime factors of 67338 and 67346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67338 and 67346.

How to find the GCF of 67338 and 67346?

We will first find the prime factorization of 67338 and 67346. After we will calculate the factors of 67338 and 67346 and find the biggest common factor number .

Step-1: Prime Factorization of 67338

Prime factors of 67338 are 2, 3, 29, 43. Prime factorization of 67338 in exponential form is:

67338 = 2¹ × 3³ × 29¹ × 43¹

Step-2: Prime Factorization of 67346

Prime factors of 67346 are 2, 151, 223. Prime factorization of 67346 in exponential form is:

67346 = 2¹ × 151¹ × 223¹

Step-3: Factors of 67338

List of positive integer factors of 67338 that divides 67338 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 43, 54, 58, 86, 87, 129, 174, 258, 261, 387, 522, 774, 783, 1161, 1247, 1566, 2322, 2494, 3741, 7482, 11223, 22446, 33669

Step-4: Factors of 67346

List of positive integer factors of 67346 that divides 67338 without a remainder.

1, 2, 151, 223, 302, 446, 33673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67338 and 67346. The biggest common factor number is the GCF number.
So the greatest common factor 67338 and 67346 is 2.

Also check out the Least Common Multiple of 67338 and 67346