What is the Greatest Common Factor of 60894 and 60898?

Greatest common factor (GCF) of 60894 and 60898 is 2.

GCF(60894,60898) = 2

We will now calculate the prime factors of 60894 and 60898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60894 and 60898.

How to find the GCF of 60894 and 60898?

We will first find the prime factorization of 60894 and 60898. After we will calculate the factors of 60894 and 60898 and find the biggest common factor number .

Step-1: Prime Factorization of 60894

Prime factors of 60894 are 2, 3, 17, 199. Prime factorization of 60894 in exponential form is:

60894 = 2¹ × 3² × 17¹ × 199¹

Step-2: Prime Factorization of 60898

Prime factors of 60898 are 2, 30449. Prime factorization of 60898 in exponential form is:

60898 = 2¹ × 30449¹

Step-3: Factors of 60894

List of positive integer factors of 60894 that divides 60894 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 199, 306, 398, 597, 1194, 1791, 3383, 3582, 6766, 10149, 20298, 30447

Step-4: Factors of 60898

List of positive integer factors of 60898 that divides 60894 without a remainder.

1, 2, 30449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60894 and 60898. The biggest common factor number is the GCF number.
So the greatest common factor 60894 and 60898 is 2.

Also check out the Least Common Multiple of 60894 and 60898