What is the Greatest Common Factor of 67407 and 67413?

Greatest common factor (GCF) of 67407 and 67413 is 3.

GCF(67407,67413) = 3

We will now calculate the prime factors of 67407 and 67413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67407 and 67413.

How to find the GCF of 67407 and 67413?

We will first find the prime factorization of 67407 and 67413. After we will calculate the factors of 67407 and 67413 and find the biggest common factor number .

Step-1: Prime Factorization of 67407

Prime factors of 67407 are 3, 22469. Prime factorization of 67407 in exponential form is:

67407 = 3¹ × 22469¹

Step-2: Prime Factorization of 67413

Prime factors of 67413 are 3, 23, 977. Prime factorization of 67413 in exponential form is:

67413 = 3¹ × 23¹ × 977¹

Step-3: Factors of 67407

List of positive integer factors of 67407 that divides 67407 without a remainder.

1, 3, 22469

Step-4: Factors of 67413

List of positive integer factors of 67413 that divides 67407 without a remainder.

1, 3, 23, 69, 977, 2931, 22471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67407 and 67413. The biggest common factor number is the GCF number.
So the greatest common factor 67407 and 67413 is 3.

Also check out the Least Common Multiple of 67407 and 67413