What is the Greatest Common Factor of 67896 and 67908?

Greatest common factor (GCF) of 67896 and 67908 is 12.

GCF(67896,67908) = 12

We will now calculate the prime factors of 67896 and 67908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67896 and 67908.

How to find the GCF of 67896 and 67908?

We will first find the prime factorization of 67896 and 67908. After we will calculate the factors of 67896 and 67908 and find the biggest common factor number .

Step-1: Prime Factorization of 67896

Prime factors of 67896 are 2, 3, 23, 41. Prime factorization of 67896 in exponential form is:

67896 = 2³ × 3² × 23¹ × 41¹

Step-2: Prime Factorization of 67908

Prime factors of 67908 are 2, 3, 5659. Prime factorization of 67908 in exponential form is:

67908 = 2² × 3¹ × 5659¹

Step-3: Factors of 67896

List of positive integer factors of 67896 that divides 67896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 41, 46, 69, 72, 82, 92, 123, 138, 164, 184, 207, 246, 276, 328, 369, 414, 492, 552, 738, 828, 943, 984, 1476, 1656, 1886, 2829, 2952, 3772, 5658, 7544, 8487, 11316, 16974, 22632, 33948

Step-4: Factors of 67908

List of positive integer factors of 67908 that divides 67896 without a remainder.

1, 2, 3, 4, 6, 12, 5659, 11318, 16977, 22636, 33954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67896 and 67908. The biggest common factor number is the GCF number.
So the greatest common factor 67896 and 67908 is 12.

Also check out the Least Common Multiple of 67896 and 67908