What is the Greatest Common Factor of 67401 and 67416?

Greatest common factor (GCF) of 67401 and 67416 is 3.

GCF(67401,67416) = 3

We will now calculate the prime factors of 67401 and 67416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67401 and 67416.

How to find the GCF of 67401 and 67416?

We will first find the prime factorization of 67401 and 67416. After we will calculate the factors of 67401 and 67416 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 67416

Prime factors of 67416 are 2, 3, 53. Prime factorization of 67416 in exponential form is:

67416 = 2³ × 3¹ × 53²

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 67416

List of positive integer factors of 67416 that divides 67401 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272, 2809, 5618, 8427, 11236, 16854, 22472, 33708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67401 and 67416. The biggest common factor number is the GCF number.
So the greatest common factor 67401 and 67416 is 3.

Also check out the Least Common Multiple of 67401 and 67416