What is the Greatest Common Factor of 67416 and 67428?

Greatest common factor (GCF) of 67416 and 67428 is 12.

GCF(67416,67428) = 12

We will now calculate the prime factors of 67416 and 67428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67416 and 67428.

How to find the GCF of 67416 and 67428?

We will first find the prime factorization of 67416 and 67428. After we will calculate the factors of 67416 and 67428 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 67428

Prime factors of 67428 are 2, 3, 1873. Prime factorization of 67428 in exponential form is:

67428 = 2² × 3² × 1873¹

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 67428

List of positive integer factors of 67428 that divides 67416 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1873, 3746, 5619, 7492, 11238, 16857, 22476, 33714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67416 and 67428. The biggest common factor number is the GCF number.
So the greatest common factor 67416 and 67428 is 12.

Also check out the Least Common Multiple of 67416 and 67428