What is the Greatest Common Factor of 80845 and 80850?

Greatest common factor (GCF) of 80845 and 80850 is 5.

GCF(80845,80850) = 5

We will now calculate the prime factors of 80845 and 80850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80845 and 80850.

How to find the GCF of 80845 and 80850?

We will first find the prime factorization of 80845 and 80850. After we will calculate the factors of 80845 and 80850 and find the biggest common factor number .

Step-1: Prime Factorization of 80845

Prime factors of 80845 are 5, 19, 23, 37. Prime factorization of 80845 in exponential form is:

80845 = 5¹ × 19¹ × 23¹ × 37¹

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 80845

List of positive integer factors of 80845 that divides 80845 without a remainder.

1, 5, 19, 23, 37, 95, 115, 185, 437, 703, 851, 2185, 3515, 4255, 16169

Step-4: Factors of 80850

List of positive integer factors of 80850 that divides 80845 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 80845 and 80850. The biggest common factor number is the GCF number.
So the greatest common factor 80845 and 80850 is 5.

Also check out the Least Common Multiple of 80845 and 80850