What is the Greatest Common Factor of 67878 and 67884?

Greatest common factor (GCF) of 67878 and 67884 is 6.

GCF(67878,67884) = 6

We will now calculate the prime factors of 67878 and 67884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67878 and 67884.

How to find the GCF of 67878 and 67884?

We will first find the prime factorization of 67878 and 67884. After we will calculate the factors of 67878 and 67884 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 67884

Prime factors of 67884 are 2, 3, 5657. Prime factorization of 67884 in exponential form is:

67884 = 2² × 3¹ × 5657¹

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 67884

List of positive integer factors of 67884 that divides 67878 without a remainder.

1, 2, 3, 4, 6, 12, 5657, 11314, 16971, 22628, 33942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67878 and 67884. The biggest common factor number is the GCF number.
So the greatest common factor 67878 and 67884 is 6.

Also check out the Least Common Multiple of 67878 and 67884