What is the Greatest Common Factor of 67407 and 67416?

Greatest common factor (GCF) of 67407 and 67416 is 3.

GCF(67407,67416) = 3

We will now calculate the prime factors of 67407 and 67416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67407 and 67416.

How to find the GCF of 67407 and 67416?

We will first find the prime factorization of 67407 and 67416. After we will calculate the factors of 67407 and 67416 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 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 67407

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

1, 3, 22469

Step-4: Factors of 67416

List of positive integer factors of 67416 that divides 67407 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 67407 and 67416. The biggest common factor number is the GCF number.
So the greatest common factor 67407 and 67416 is 3.

Also check out the Least Common Multiple of 67407 and 67416