What is the Greatest Common Factor of 67374 and 67389?

Greatest common factor (GCF) of 67374 and 67389 is 3.

GCF(67374,67389) = 3

We will now calculate the prime factors of 67374 and 67389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67374 and 67389.

How to find the GCF of 67374 and 67389?

We will first find the prime factorization of 67374 and 67389. After we will calculate the factors of 67374 and 67389 and find the biggest common factor number .

Step-1: Prime Factorization of 67374

Prime factors of 67374 are 2, 3, 19, 197. Prime factorization of 67374 in exponential form is:

67374 = 2¹ × 3² × 19¹ × 197¹

Step-2: Prime Factorization of 67389

Prime factors of 67389 are 3, 7, 3209. Prime factorization of 67389 in exponential form is:

67389 = 3¹ × 7¹ × 3209¹

Step-3: Factors of 67374

List of positive integer factors of 67374 that divides 67374 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 197, 342, 394, 591, 1182, 1773, 3546, 3743, 7486, 11229, 22458, 33687

Step-4: Factors of 67389

List of positive integer factors of 67389 that divides 67374 without a remainder.

1, 3, 7, 21, 3209, 9627, 22463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67374 and 67389. The biggest common factor number is the GCF number.
So the greatest common factor 67374 and 67389 is 3.

Also check out the Least Common Multiple of 67374 and 67389