What is the Greatest Common Factor of 86505 and 86520?

Greatest common factor (GCF) of 86505 and 86520 is 15.

GCF(86505,86520) = 15

We will now calculate the prime factors of 86505 and 86520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86505 and 86520.

How to find the GCF of 86505 and 86520?

We will first find the prime factorization of 86505 and 86520. After we will calculate the factors of 86505 and 86520 and find the biggest common factor number .

Step-1: Prime Factorization of 86505

Prime factors of 86505 are 3, 5, 73, 79. Prime factorization of 86505 in exponential form is:

86505 = 3¹ × 5¹ × 73¹ × 79¹

Step-2: Prime Factorization of 86520

Prime factors of 86520 are 2, 3, 5, 7, 103. Prime factorization of 86520 in exponential form is:

86520 = 2³ × 3¹ × 5¹ × 7¹ × 103¹

Step-3: Factors of 86505

List of positive integer factors of 86505 that divides 86505 without a remainder.

1, 3, 5, 15, 73, 79, 219, 237, 365, 395, 1095, 1185, 5767, 17301, 28835

Step-4: Factors of 86520

List of positive integer factors of 86520 that divides 86505 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 103, 105, 120, 140, 168, 206, 210, 280, 309, 412, 420, 515, 618, 721, 824, 840, 1030, 1236, 1442, 1545, 2060, 2163, 2472, 2884, 3090, 3605, 4120, 4326, 5768, 6180, 7210, 8652, 10815, 12360, 14420, 17304, 21630, 28840, 43260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86505 and 86520. The biggest common factor number is the GCF number.
So the greatest common factor 86505 and 86520 is 15.

Also check out the Least Common Multiple of 86505 and 86520