What is the Greatest Common Factor of 68850 and 68856?

Greatest common factor (GCF) of 68850 and 68856 is 6.

GCF(68850,68856) = 6

We will now calculate the prime factors of 68850 and 68856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68850 and 68856.

How to find the GCF of 68850 and 68856?

We will first find the prime factorization of 68850 and 68856. After we will calculate the factors of 68850 and 68856 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 68856

Prime factors of 68856 are 2, 3, 19, 151. Prime factorization of 68856 in exponential form is:

68856 = 2³ × 3¹ × 19¹ × 151¹

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 68856

List of positive integer factors of 68856 that divides 68850 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 151, 152, 228, 302, 453, 456, 604, 906, 1208, 1812, 2869, 3624, 5738, 8607, 11476, 17214, 22952, 34428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68850 and 68856. The biggest common factor number is the GCF number.
So the greatest common factor 68850 and 68856 is 6.

Also check out the Least Common Multiple of 68850 and 68856