What is the Greatest Common Factor of 67874 and 67878?

Greatest common factor (GCF) of 67874 and 67878 is 2.

GCF(67874,67878) = 2

We will now calculate the prime factors of 67874 and 67878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67874 and 67878.

How to find the GCF of 67874 and 67878?

We will first find the prime factorization of 67874 and 67878. After we will calculate the factors of 67874 and 67878 and find the biggest common factor number .

Step-1: Prime Factorization of 67874

Prime factors of 67874 are 2, 33937. Prime factorization of 67874 in exponential form is:

67874 = 2¹ × 33937¹

Step-2: 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-3: Factors of 67874

List of positive integer factors of 67874 that divides 67874 without a remainder.

1, 2, 33937

Step-4: Factors of 67878

List of positive integer factors of 67878 that divides 67874 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67874 and 67878. The biggest common factor number is the GCF number.
So the greatest common factor 67874 and 67878 is 2.

Also check out the Least Common Multiple of 67874 and 67878