What is the Greatest Common Factor of 67332 and 67341?

Greatest common factor (GCF) of 67332 and 67341 is 3.

GCF(67332,67341) = 3

We will now calculate the prime factors of 67332 and 67341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67332 and 67341.

How to find the GCF of 67332 and 67341?

We will first find the prime factorization of 67332 and 67341. After we will calculate the factors of 67332 and 67341 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 67341

Prime factors of 67341 are 3, 22447. Prime factorization of 67341 in exponential form is:

67341 = 3¹ × 22447¹

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 67341

List of positive integer factors of 67341 that divides 67332 without a remainder.

1, 3, 22447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67332 and 67341. The biggest common factor number is the GCF number.
So the greatest common factor 67332 and 67341 is 3.

Also check out the Least Common Multiple of 67332 and 67341