What is the Greatest Common Factor of 67380 and 67389?

Greatest common factor (GCF) of 67380 and 67389 is 3.

GCF(67380,67389) = 3

We will now calculate the prime factors of 67380 and 67389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67380 and 67389.

How to find the GCF of 67380 and 67389?

We will first find the prime factorization of 67380 and 67389. After we will calculate the factors of 67380 and 67389 and find the biggest common factor number .

Step-1: Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 2² × 3¹ × 5¹ × 1123¹

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 67380

List of positive integer factors of 67380 that divides 67380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492, 5615, 6738, 11230, 13476, 16845, 22460, 33690

Step-4: Factors of 67389

List of positive integer factors of 67389 that divides 67380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67380 and 67389. The biggest common factor number is the GCF number.
So the greatest common factor 67380 and 67389 is 3.

Also check out the Least Common Multiple of 67380 and 67389