What is the Greatest Common Factor of 68850 and 68865?

Greatest common factor (GCF) of 68850 and 68865 is 15.

GCF(68850,68865) = 15

We will now calculate the prime factors of 68850 and 68865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68850 and 68865.

How to find the GCF of 68850 and 68865?

We will first find the prime factorization of 68850 and 68865. After we will calculate the factors of 68850 and 68865 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 68865

Prime factors of 68865 are 3, 5, 4591. Prime factorization of 68865 in exponential form is:

68865 = 3¹ × 5¹ × 4591¹

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 68865

List of positive integer factors of 68865 that divides 68850 without a remainder.

1, 3, 5, 15, 4591, 13773, 22955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68850 and 68865. The biggest common factor number is the GCF number.
So the greatest common factor 68850 and 68865 is 15.

Also check out the Least Common Multiple of 68850 and 68865