What is the Greatest Common Factor of 68850 and 68866?

Greatest common factor (GCF) of 68850 and 68866 is 2.

GCF(68850,68866) = 2

We will now calculate the prime factors of 68850 and 68866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68850 and 68866.

How to find the GCF of 68850 and 68866?

We will first find the prime factorization of 68850 and 68866. After we will calculate the factors of 68850 and 68866 and find the biggest common factor number .

Step-1: Prime Factorization of 68850

Prime factors of 68850 are 2, 3, 5, 17. Prime factorization of 68850 in exponential form is:

68850 = 2¹ × 3⁴ × 5² × 17¹

Step-2: Prime Factorization of 68866

Prime factors of 68866 are 2, 7, 4919. Prime factorization of 68866 in exponential form is:

68866 = 2¹ × 7¹ × 4919¹

Step-3: Factors of 68850

List of positive integer factors of 68850 that divides 68850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 27, 30, 34, 45, 50, 51, 54, 75, 81, 85, 90, 102, 135, 150, 153, 162, 170, 225, 255, 270, 306, 405, 425, 450, 459, 510, 675, 765, 810, 850, 918, 1275, 1350, 1377, 1530, 2025, 2295, 2550, 2754, 3825, 4050, 4590, 6885, 7650, 11475, 13770, 22950, 34425

Step-4: Factors of 68866

List of positive integer factors of 68866 that divides 68850 without a remainder.

1, 2, 7, 14, 4919, 9838, 34433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68850 and 68866. The biggest common factor number is the GCF number.
So the greatest common factor 68850 and 68866 is 2.

Also check out the Least Common Multiple of 68850 and 68866