What is the Greatest Common Factor of 67401 and 67413?

Greatest common factor (GCF) of 67401 and 67413 is 3.

GCF(67401,67413) = 3

We will now calculate the prime factors of 67401 and 67413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67401 and 67413.

How to find the GCF of 67401 and 67413?

We will first find the prime factorization of 67401 and 67413. After we will calculate the factors of 67401 and 67413 and find the biggest common factor number .

Step-1: Prime Factorization of 67401

Prime factors of 67401 are 3, 7489. Prime factorization of 67401 in exponential form is:

67401 = 3² × 7489¹

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 67401

List of positive integer factors of 67401 that divides 67401 without a remainder.

1, 3, 9, 7489, 22467

Step-4: Factors of 67413

List of positive integer factors of 67413 that divides 67401 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67401 and 67413. The biggest common factor number is the GCF number.
So the greatest common factor 67401 and 67413 is 3.

Also check out the Least Common Multiple of 67401 and 67413