What is the Greatest Common Factor of 67389 and 67393?

Greatest common factor (GCF) of 67389 and 67393 is 1.

GCF(67389,67393) = 1

We will now calculate the prime factors of 67389 and 67393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67389 and 67393.

How to find the GCF of 67389 and 67393?

We will first find the prime factorization of 67389 and 67393. After we will calculate the factors of 67389 and 67393 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67393

Prime factors of 67393 are 19, 3547. Prime factorization of 67393 in exponential form is:

67393 = 19¹ × 3547¹

Step-3: Factors of 67389

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

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

Step-4: Factors of 67393

List of positive integer factors of 67393 that divides 67389 without a remainder.

1, 19, 3547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67389 and 67393. The biggest common factor number is the GCF number.
So the greatest common factor 67389 and 67393 is 1.

Also check out the Least Common Multiple of 67389 and 67393