What is the Greatest Common Factor of 60882 and 60894?

Greatest common factor (GCF) of 60882 and 60894 is 6.

GCF(60882,60894) = 6

We will now calculate the prime factors of 60882 and 60894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60882 and 60894.

How to find the GCF of 60882 and 60894?

We will first find the prime factorization of 60882 and 60894. After we will calculate the factors of 60882 and 60894 and find the biggest common factor number .

Step-1: Prime Factorization of 60882

Prime factors of 60882 are 2, 3, 73, 139. Prime factorization of 60882 in exponential form is:

60882 = 2¹ × 3¹ × 73¹ × 139¹

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 60882

List of positive integer factors of 60882 that divides 60882 without a remainder.

1, 2, 3, 6, 73, 139, 146, 219, 278, 417, 438, 834, 10147, 20294, 30441

Step-4: Factors of 60894

List of positive integer factors of 60894 that divides 60882 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 60882 and 60894. The biggest common factor number is the GCF number.
So the greatest common factor 60882 and 60894 is 6.

Also check out the Least Common Multiple of 60882 and 60894