What is the Greatest Common Factor of 68838 and 68850?

Greatest common factor (GCF) of 68838 and 68850 is 6.

GCF(68838,68850) = 6

We will now calculate the prime factors of 68838 and 68850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68838 and 68850.

How to find the GCF of 68838 and 68850?

We will first find the prime factorization of 68838 and 68850. After we will calculate the factors of 68838 and 68850 and find the biggest common factor number .

Step-1: Prime Factorization of 68838

Prime factors of 68838 are 2, 3, 7, 11, 149. Prime factorization of 68838 in exponential form is:

68838 = 2¹ × 3¹ × 7¹ × 11¹ × 149¹

Step-2: 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-3: Factors of 68838

List of positive integer factors of 68838 that divides 68838 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 149, 154, 231, 298, 447, 462, 894, 1043, 1639, 2086, 3129, 3278, 4917, 6258, 9834, 11473, 22946, 34419

Step-4: Factors of 68850

List of positive integer factors of 68850 that divides 68838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68838 and 68850. The biggest common factor number is the GCF number.
So the greatest common factor 68838 and 68850 is 6.

Also check out the Least Common Multiple of 68838 and 68850