What is the Greatest Common Factor of 80835 and 80850?

Greatest common factor (GCF) of 80835 and 80850 is 15.

GCF(80835,80850) = 15

We will now calculate the prime factors of 80835 and 80850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80835 and 80850.

How to find the GCF of 80835 and 80850?

We will first find the prime factorization of 80835 and 80850. After we will calculate the factors of 80835 and 80850 and find the biggest common factor number .

Step-1: Prime Factorization of 80835

Prime factors of 80835 are 3, 5, 17, 317. Prime factorization of 80835 in exponential form is:

80835 = 3¹ × 5¹ × 17¹ × 317¹

Step-2: Prime Factorization of 80850

Prime factors of 80850 are 2, 3, 5, 7, 11. Prime factorization of 80850 in exponential form is:

80850 = 2¹ × 3¹ × 5² × 7² × 11¹

Step-3: Factors of 80835

List of positive integer factors of 80835 that divides 80835 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 317, 951, 1585, 4755, 5389, 16167, 26945

Step-4: Factors of 80850

List of positive integer factors of 80850 that divides 80835 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 25, 30, 33, 35, 42, 49, 50, 55, 66, 70, 75, 77, 98, 105, 110, 147, 150, 154, 165, 175, 210, 231, 245, 275, 294, 330, 350, 385, 462, 490, 525, 539, 550, 735, 770, 825, 1050, 1078, 1155, 1225, 1470, 1617, 1650, 1925, 2310, 2450, 2695, 3234, 3675, 3850, 5390, 5775, 7350, 8085, 11550, 13475, 16170, 26950, 40425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80835 and 80850. The biggest common factor number is the GCF number.
So the greatest common factor 80835 and 80850 is 15.

Also check out the Least Common Multiple of 80835 and 80850