What is the Greatest Common Factor of 36846 and 36855?

Greatest common factor (GCF) of 36846 and 36855 is 9.

GCF(36846,36855) = 9

We will now calculate the prime factors of 36846 and 36855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36846 and 36855.

How to find the GCF of 36846 and 36855?

We will first find the prime factorization of 36846 and 36855. After we will calculate the factors of 36846 and 36855 and find the biggest common factor number .

Step-1: Prime Factorization of 36846

Prime factors of 36846 are 2, 3, 23, 89. Prime factorization of 36846 in exponential form is:

36846 = 2¹ × 3² × 23¹ × 89¹

Step-2: Prime Factorization of 36855

Prime factors of 36855 are 3, 5, 7, 13. Prime factorization of 36855 in exponential form is:

36855 = 3⁴ × 5¹ × 7¹ × 13¹

Step-3: Factors of 36846

List of positive integer factors of 36846 that divides 36846 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 89, 138, 178, 207, 267, 414, 534, 801, 1602, 2047, 4094, 6141, 12282, 18423

Step-4: Factors of 36855

List of positive integer factors of 36855 that divides 36846 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 27, 35, 39, 45, 63, 65, 81, 91, 105, 117, 135, 189, 195, 273, 315, 351, 405, 455, 567, 585, 819, 945, 1053, 1365, 1755, 2457, 2835, 4095, 5265, 7371, 12285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36846 and 36855. The biggest common factor number is the GCF number.
So the greatest common factor 36846 and 36855 is 9.

Also check out the Least Common Multiple of 36846 and 36855