What is the Greatest Common Factor of 67416 and 67422?

Greatest common factor (GCF) of 67416 and 67422 is 6.

GCF(67416,67422) = 6

We will now calculate the prime factors of 67416 and 67422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67416 and 67422.

How to find the GCF of 67416 and 67422?

We will first find the prime factorization of 67416 and 67422. After we will calculate the factors of 67416 and 67422 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67422

Prime factors of 67422 are 2, 3, 17, 661. Prime factorization of 67422 in exponential form is:

67422 = 2¹ × 3¹ × 17¹ × 661¹

Step-3: Factors of 67416

List of positive integer factors of 67416 that divides 67416 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

Step-4: Factors of 67422

List of positive integer factors of 67422 that divides 67416 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 661, 1322, 1983, 3966, 11237, 22474, 33711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67416 and 67422. The biggest common factor number is the GCF number.
So the greatest common factor 67416 and 67422 is 6.

Also check out the Least Common Multiple of 67416 and 67422