What is the Greatest Common Factor of 82650 and 82665?

Greatest common factor (GCF) of 82650 and 82665 is 15.

GCF(82650,82665) = 15

We will now calculate the prime factors of 82650 and 82665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82650 and 82665.

How to find the GCF of 82650 and 82665?

We will first find the prime factorization of 82650 and 82665. After we will calculate the factors of 82650 and 82665 and find the biggest common factor number .

Step-1: Prime Factorization of 82650

Prime factors of 82650 are 2, 3, 5, 19, 29. Prime factorization of 82650 in exponential form is:

82650 = 2¹ × 3¹ × 5² × 19¹ × 29¹

Step-2: Prime Factorization of 82665

Prime factors of 82665 are 3, 5, 11, 167. Prime factorization of 82665 in exponential form is:

82665 = 3² × 5¹ × 11¹ × 167¹

Step-3: Factors of 82650

List of positive integer factors of 82650 that divides 82650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 29, 30, 38, 50, 57, 58, 75, 87, 95, 114, 145, 150, 174, 190, 285, 290, 435, 475, 551, 570, 725, 870, 950, 1102, 1425, 1450, 1653, 2175, 2755, 2850, 3306, 4350, 5510, 8265, 13775, 16530, 27550, 41325

Step-4: Factors of 82665

List of positive integer factors of 82665 that divides 82650 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 167, 495, 501, 835, 1503, 1837, 2505, 5511, 7515, 9185, 16533, 27555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82650 and 82665. The biggest common factor number is the GCF number.
So the greatest common factor 82650 and 82665 is 15.

Also check out the Least Common Multiple of 82650 and 82665