What is the Greatest Common Factor of 67878 and 67898?

Greatest common factor (GCF) of 67878 and 67898 is 2.

GCF(67878,67898) = 2

We will now calculate the prime factors of 67878 and 67898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67878 and 67898.

How to find the GCF of 67878 and 67898?

We will first find the prime factorization of 67878 and 67898. After we will calculate the factors of 67878 and 67898 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 67898

Prime factors of 67898 are 2, 17, 1997. Prime factorization of 67898 in exponential form is:

67898 = 2¹ × 17¹ × 1997¹

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 67898

List of positive integer factors of 67898 that divides 67878 without a remainder.

1, 2, 17, 34, 1997, 3994, 33949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67878 and 67898. The biggest common factor number is the GCF number.
So the greatest common factor 67878 and 67898 is 2.

Also check out the Least Common Multiple of 67878 and 67898