What is the Greatest Common Factor of 82665 and 82680?

Greatest common factor (GCF) of 82665 and 82680 is 15.

GCF(82665,82680) = 15

We will now calculate the prime factors of 82665 and 82680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82665 and 82680.

How to find the GCF of 82665 and 82680?

We will first find the prime factorization of 82665 and 82680. After we will calculate the factors of 82665 and 82680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82680

Prime factors of 82680 are 2, 3, 5, 13, 53. Prime factorization of 82680 in exponential form is:

82680 = 2³ × 3¹ × 5¹ × 13¹ × 53¹

Step-3: Factors of 82665

List of positive integer factors of 82665 that divides 82665 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

Step-4: Factors of 82680

List of positive integer factors of 82680 that divides 82665 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 53, 60, 65, 78, 104, 106, 120, 130, 156, 159, 195, 212, 260, 265, 312, 318, 390, 424, 520, 530, 636, 689, 780, 795, 1060, 1272, 1378, 1560, 1590, 2067, 2120, 2756, 3180, 3445, 4134, 5512, 6360, 6890, 8268, 10335, 13780, 16536, 20670, 27560, 41340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82665 and 82680. The biggest common factor number is the GCF number.
So the greatest common factor 82665 and 82680 is 15.

Also check out the Least Common Multiple of 82665 and 82680