What is the Greatest Common Factor of 82654 and 82665?

Greatest common factor (GCF) of 82654 and 82665 is 11.

GCF(82654,82665) = 11

We will now calculate the prime factors of 82654 and 82665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82654 and 82665.

How to find the GCF of 82654 and 82665?

We will first find the prime factorization of 82654 and 82665. After we will calculate the factors of 82654 and 82665 and find the biggest common factor number .

Step-1: Prime Factorization of 82654

Prime factors of 82654 are 2, 11, 13, 17. Prime factorization of 82654 in exponential form is:

82654 = 2¹ × 11¹ × 13¹ × 17²

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 82654

List of positive integer factors of 82654 that divides 82654 without a remainder.

1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 289, 374, 442, 578, 2431, 3179, 3757, 4862, 6358, 7514, 41327

Step-4: Factors of 82665

List of positive integer factors of 82665 that divides 82654 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 82654 and 82665. The biggest common factor number is the GCF number.
So the greatest common factor 82654 and 82665 is 11.

Also check out the Least Common Multiple of 82654 and 82665