What is the Greatest Common Factor of 80850 and 80856?

Greatest common factor (GCF) of 80850 and 80856 is 6.

GCF(80850,80856) = 6

We will now calculate the prime factors of 80850 and 80856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80850 and 80856.

How to find the GCF of 80850 and 80856?

We will first find the prime factorization of 80850 and 80856. After we will calculate the factors of 80850 and 80856 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80856

Prime factors of 80856 are 2, 3, 1123. Prime factorization of 80856 in exponential form is:

80856 = 2³ × 3² × 1123¹

Step-3: Factors of 80850

List of positive integer factors of 80850 that divides 80850 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

Step-4: Factors of 80856

List of positive integer factors of 80856 that divides 80850 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1123, 2246, 3369, 4492, 6738, 8984, 10107, 13476, 20214, 26952, 40428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80850 and 80856. The biggest common factor number is the GCF number.
So the greatest common factor 80850 and 80856 is 6.

Also check out the Least Common Multiple of 80850 and 80856