What is the Greatest Common Factor of 67332 and 67338?

Greatest common factor (GCF) of 67332 and 67338 is 6.

GCF(67332,67338) = 6

We will now calculate the prime factors of 67332 and 67338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67332 and 67338.

How to find the GCF of 67332 and 67338?

We will first find the prime factorization of 67332 and 67338. After we will calculate the factors of 67332 and 67338 and find the biggest common factor number .

Step-1: Prime Factorization of 67332

Prime factors of 67332 are 2, 3, 31, 181. Prime factorization of 67332 in exponential form is:

67332 = 2² × 3¹ × 31¹ × 181¹

Step-2: 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-3: Factors of 67332

List of positive integer factors of 67332 that divides 67332 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 181, 186, 362, 372, 543, 724, 1086, 2172, 5611, 11222, 16833, 22444, 33666

Step-4: Factors of 67338

List of positive integer factors of 67338 that divides 67332 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67332 and 67338. The biggest common factor number is the GCF number.
So the greatest common factor 67332 and 67338 is 6.

Also check out the Least Common Multiple of 67332 and 67338