What is the Greatest Common Factor of 68850 and 68868?

Greatest common factor (GCF) of 68850 and 68868 is 18.

GCF(68850,68868) = 18

We will now calculate the prime factors of 68850 and 68868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68850 and 68868.

How to find the GCF of 68850 and 68868?

We will first find the prime factorization of 68850 and 68868. After we will calculate the factors of 68850 and 68868 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 68868

Prime factors of 68868 are 2, 3, 1913. Prime factorization of 68868 in exponential form is:

68868 = 2² × 3² × 1913¹

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 68868

List of positive integer factors of 68868 that divides 68850 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1913, 3826, 5739, 7652, 11478, 17217, 22956, 34434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68850 and 68868. The biggest common factor number is the GCF number.
So the greatest common factor 68850 and 68868 is 18.

Also check out the Least Common Multiple of 68850 and 68868