What is the Greatest Common Factor of 67389 and 67408?

Greatest common factor (GCF) of 67389 and 67408 is 1.

GCF(67389,67408) = 1

We will now calculate the prime factors of 67389 and 67408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67389 and 67408.

How to find the GCF of 67389 and 67408?

We will first find the prime factorization of 67389 and 67408. After we will calculate the factors of 67389 and 67408 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 67408

Prime factors of 67408 are 2, 11, 383. Prime factorization of 67408 in exponential form is:

67408 = 2⁴ × 11¹ × 383¹

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 67408

List of positive integer factors of 67408 that divides 67389 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 383, 766, 1532, 3064, 4213, 6128, 8426, 16852, 33704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67389 and 67408. The biggest common factor number is the GCF number.
So the greatest common factor 67389 and 67408 is 1.

Also check out the Least Common Multiple of 67389 and 67408