What is the Greatest Common Factor of 60879 and 60894?

Greatest common factor (GCF) of 60879 and 60894 is 3.

GCF(60879,60894) = 3

We will now calculate the prime factors of 60879 and 60894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60879 and 60894.

How to find the GCF of 60879 and 60894?

We will first find the prime factorization of 60879 and 60894. After we will calculate the factors of 60879 and 60894 and find the biggest common factor number .

Step-1: Prime Factorization of 60879

Prime factors of 60879 are 3, 7, 13, 223. Prime factorization of 60879 in exponential form is:

60879 = 3¹ × 7¹ × 13¹ × 223¹

Step-2: 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-3: Factors of 60879

List of positive integer factors of 60879 that divides 60879 without a remainder.

1, 3, 7, 13, 21, 39, 91, 223, 273, 669, 1561, 2899, 4683, 8697, 20293

Step-4: Factors of 60894

List of positive integer factors of 60894 that divides 60879 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60879 and 60894. The biggest common factor number is the GCF number.
So the greatest common factor 60879 and 60894 is 3.

Also check out the Least Common Multiple of 60879 and 60894