What is the Greatest Common Factor of 86520 and 86535?

Greatest common factor (GCF) of 86520 and 86535 is 15.

GCF(86520,86535) = 15

We will now calculate the prime factors of 86520 and 86535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86520 and 86535.

How to find the GCF of 86520 and 86535?

We will first find the prime factorization of 86520 and 86535. After we will calculate the factors of 86520 and 86535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86535

Prime factors of 86535 are 3, 5, 641. Prime factorization of 86535 in exponential form is:

86535 = 3³ × 5¹ × 641¹

Step-3: Factors of 86520

List of positive integer factors of 86520 that divides 86520 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

Step-4: Factors of 86535

List of positive integer factors of 86535 that divides 86520 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 641, 1923, 3205, 5769, 9615, 17307, 28845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86520 and 86535. The biggest common factor number is the GCF number.
So the greatest common factor 86520 and 86535 is 15.

Also check out the Least Common Multiple of 86520 and 86535