What is the Greatest Common Factor of 80850 and 80865?

Greatest common factor (GCF) of 80850 and 80865 is 15.

GCF(80850,80865) = 15

We will now calculate the prime factors of 80850 and 80865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80850 and 80865.

How to find the GCF of 80850 and 80865?

We will first find the prime factorization of 80850 and 80865. After we will calculate the factors of 80850 and 80865 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 80865

Prime factors of 80865 are 3, 5, 599. Prime factorization of 80865 in exponential form is:

80865 = 3³ × 5¹ × 599¹

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 80865

List of positive integer factors of 80865 that divides 80850 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 599, 1797, 2995, 5391, 8985, 16173, 26955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80850 and 80865. The biggest common factor number is the GCF number.
So the greatest common factor 80850 and 80865 is 15.

Also check out the Least Common Multiple of 80850 and 80865