What is the Greatest Common Factor of 83640 and 83655?

Greatest common factor (GCF) of 83640 and 83655 is 15.

GCF(83640,83655) = 15

We will now calculate the prime factors of 83640 and 83655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83640 and 83655.

How to find the GCF of 83640 and 83655?

We will first find the prime factorization of 83640 and 83655. After we will calculate the factors of 83640 and 83655 and find the biggest common factor number .

Step-1: Prime Factorization of 83640

Prime factors of 83640 are 2, 3, 5, 17, 41. Prime factorization of 83640 in exponential form is:

83640 = 2³ × 3¹ × 5¹ × 17¹ × 41¹

Step-2: Prime Factorization of 83655

Prime factors of 83655 are 3, 5, 11, 13. Prime factorization of 83655 in exponential form is:

83655 = 3² × 5¹ × 11¹ × 13²

Step-3: Factors of 83640

List of positive integer factors of 83640 that divides 83640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 41, 51, 60, 68, 82, 85, 102, 120, 123, 136, 164, 170, 204, 205, 246, 255, 328, 340, 408, 410, 492, 510, 615, 680, 697, 820, 984, 1020, 1230, 1394, 1640, 2040, 2091, 2460, 2788, 3485, 4182, 4920, 5576, 6970, 8364, 10455, 13940, 16728, 20910, 27880, 41820

Step-4: Factors of 83655

List of positive integer factors of 83655 that divides 83640 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 169, 195, 429, 495, 507, 585, 715, 845, 1287, 1521, 1859, 2145, 2535, 5577, 6435, 7605, 9295, 16731, 27885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83640 and 83655. The biggest common factor number is the GCF number.
So the greatest common factor 83640 and 83655 is 15.

Also check out the Least Common Multiple of 83640 and 83655