What is the Greatest Common Factor of 67878 and 67896?

Greatest common factor (GCF) of 67878 and 67896 is 18.

GCF(67878,67896) = 18

We will now calculate the prime factors of 67878 and 67896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67878 and 67896.

How to find the GCF of 67878 and 67896?

We will first find the prime factorization of 67878 and 67896. After we will calculate the factors of 67878 and 67896 and find the biggest common factor number .

Step-1: Prime Factorization of 67878

Prime factors of 67878 are 2, 3, 419. Prime factorization of 67878 in exponential form is:

67878 = 2¹ × 3⁴ × 419¹

Step-2: 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-3: Factors of 67878

List of positive integer factors of 67878 that divides 67878 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 419, 838, 1257, 2514, 3771, 7542, 11313, 22626, 33939

Step-4: Factors of 67896

List of positive integer factors of 67896 that divides 67878 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67878 and 67896. The biggest common factor number is the GCF number.
So the greatest common factor 67878 and 67896 is 18.

Also check out the Least Common Multiple of 67878 and 67896