What is the Greatest Common Factor of 68850 and 68860?

Greatest common factor (GCF) of 68850 and 68860 is 10.

GCF(68850,68860) = 10

We will now calculate the prime factors of 68850 and 68860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68850 and 68860.

How to find the GCF of 68850 and 68860?

We will first find the prime factorization of 68850 and 68860. After we will calculate the factors of 68850 and 68860 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 68860

Prime factors of 68860 are 2, 5, 11, 313. Prime factorization of 68860 in exponential form is:

68860 = 2² × 5¹ × 11¹ × 313¹

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 68860

List of positive integer factors of 68860 that divides 68850 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 313, 626, 1252, 1565, 3130, 3443, 6260, 6886, 13772, 17215, 34430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68850 and 68860. The biggest common factor number is the GCF number.
So the greatest common factor 68850 and 68860 is 10.

Also check out the Least Common Multiple of 68850 and 68860