What is the Greatest Common Factor of 36465 and 36483?

Greatest common factor (GCF) of 36465 and 36483 is 3.

GCF(36465,36483) = 3

We will now calculate the prime factors of 36465 and 36483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36465 and 36483.

How to find the GCF of 36465 and 36483?

We will first find the prime factorization of 36465 and 36483. After we will calculate the factors of 36465 and 36483 and find the biggest common factor number .

Step-1: Prime Factorization of 36465

Prime factors of 36465 are 3, 5, 11, 13, 17. Prime factorization of 36465 in exponential form is:

36465 = 3¹ × 5¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 36483

Prime factors of 36483 are 3, 12161. Prime factorization of 36483 in exponential form is:

36483 = 3¹ × 12161¹

Step-3: Factors of 36465

List of positive integer factors of 36465 that divides 36465 without a remainder.

1, 3, 5, 11, 13, 15, 17, 33, 39, 51, 55, 65, 85, 143, 165, 187, 195, 221, 255, 429, 561, 663, 715, 935, 1105, 2145, 2431, 2805, 3315, 7293, 12155

Step-4: Factors of 36483

List of positive integer factors of 36483 that divides 36465 without a remainder.

1, 3, 12161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36465 and 36483. The biggest common factor number is the GCF number.
So the greatest common factor 36465 and 36483 is 3.

Also check out the Least Common Multiple of 36465 and 36483