What is the Greatest Common Factor of 67278 and 67284?

Greatest common factor (GCF) of 67278 and 67284 is 6.

GCF(67278,67284) = 6

We will now calculate the prime factors of 67278 and 67284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67278 and 67284.

How to find the GCF of 67278 and 67284?

We will first find the prime factorization of 67278 and 67284. After we will calculate the factors of 67278 and 67284 and find the biggest common factor number .

Step-1: Prime Factorization of 67278

Prime factors of 67278 are 2, 3, 11213. Prime factorization of 67278 in exponential form is:

67278 = 2¹ × 3¹ × 11213¹

Step-2: Prime Factorization of 67284

Prime factors of 67284 are 2, 3, 7, 89. Prime factorization of 67284 in exponential form is:

67284 = 2² × 3³ × 7¹ × 89¹

Step-3: Factors of 67278

List of positive integer factors of 67278 that divides 67278 without a remainder.

1, 2, 3, 6, 11213, 22426, 33639

Step-4: Factors of 67284

List of positive integer factors of 67284 that divides 67278 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 89, 108, 126, 178, 189, 252, 267, 356, 378, 534, 623, 756, 801, 1068, 1246, 1602, 1869, 2403, 2492, 3204, 3738, 4806, 5607, 7476, 9612, 11214, 16821, 22428, 33642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67278 and 67284. The biggest common factor number is the GCF number.
So the greatest common factor 67278 and 67284 is 6.

Also check out the Least Common Multiple of 67278 and 67284