What is the Greatest Common Factor of 80838 and 80850?

Greatest common factor (GCF) of 80838 and 80850 is 6.

GCF(80838,80850) = 6

We will now calculate the prime factors of 80838 and 80850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80838 and 80850.

How to find the GCF of 80838 and 80850?

We will first find the prime factorization of 80838 and 80850. After we will calculate the factors of 80838 and 80850 and find the biggest common factor number .

Step-1: Prime Factorization of 80838

Prime factors of 80838 are 2, 3, 499. Prime factorization of 80838 in exponential form is:

80838 = 2¹ × 3⁴ × 499¹

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 80838

List of positive integer factors of 80838 that divides 80838 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946, 40419

Step-4: Factors of 80850

List of positive integer factors of 80850 that divides 80838 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 80838 and 80850. The biggest common factor number is the GCF number.
So the greatest common factor 80838 and 80850 is 6.

Also check out the Least Common Multiple of 80838 and 80850