What is the Greatest Common Factor of 67864 and 67878?

Greatest common factor (GCF) of 67864 and 67878 is 2.

GCF(67864,67878) = 2

We will now calculate the prime factors of 67864 and 67878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67864 and 67878.

How to find the GCF of 67864 and 67878?

We will first find the prime factorization of 67864 and 67878. After we will calculate the factors of 67864 and 67878 and find the biggest common factor number .

Step-1: Prime Factorization of 67864

Prime factors of 67864 are 2, 17, 499. Prime factorization of 67864 in exponential form is:

67864 = 2³ × 17¹ × 499¹

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 67864

List of positive integer factors of 67864 that divides 67864 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 499, 998, 1996, 3992, 8483, 16966, 33932

Step-4: Factors of 67878

List of positive integer factors of 67878 that divides 67864 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 67864 and 67878. The biggest common factor number is the GCF number.
So the greatest common factor 67864 and 67878 is 2.

Also check out the Least Common Multiple of 67864 and 67878