What is the Greatest Common Factor of 68835 and 68850?

Greatest common factor (GCF) of 68835 and 68850 is 15.

GCF(68835,68850) = 15

We will now calculate the prime factors of 68835 and 68850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68835 and 68850.

How to find the GCF of 68835 and 68850?

We will first find the prime factorization of 68835 and 68850. After we will calculate the factors of 68835 and 68850 and find the biggest common factor number .

Step-1: Prime Factorization of 68835

Prime factors of 68835 are 3, 5, 13, 353. Prime factorization of 68835 in exponential form is:

68835 = 3¹ × 5¹ × 13¹ × 353¹

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 68835

List of positive integer factors of 68835 that divides 68835 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 353, 1059, 1765, 4589, 5295, 13767, 22945

Step-4: Factors of 68850

List of positive integer factors of 68850 that divides 68835 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 68835 and 68850. The biggest common factor number is the GCF number.
So the greatest common factor 68835 and 68850 is 15.

Also check out the Least Common Multiple of 68835 and 68850