What is the Greatest Common Factor of 36810 and 36816?

Greatest common factor (GCF) of 36810 and 36816 is 6.

GCF(36810,36816) = 6

We will now calculate the prime factors of 36810 and 36816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36810 and 36816.

How to find the GCF of 36810 and 36816?

We will first find the prime factorization of 36810 and 36816. After we will calculate the factors of 36810 and 36816 and find the biggest common factor number .

Step-1: Prime Factorization of 36810

Prime factors of 36810 are 2, 3, 5, 409. Prime factorization of 36810 in exponential form is:

36810 = 2¹ × 3² × 5¹ × 409¹

Step-2: Prime Factorization of 36816

Prime factors of 36816 are 2, 3, 13, 59. Prime factorization of 36816 in exponential form is:

36816 = 2⁴ × 3¹ × 13¹ × 59¹

Step-3: Factors of 36810

List of positive integer factors of 36810 that divides 36810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 409, 818, 1227, 2045, 2454, 3681, 4090, 6135, 7362, 12270, 18405

Step-4: Factors of 36816

List of positive integer factors of 36816 that divides 36810 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 59, 78, 104, 118, 156, 177, 208, 236, 312, 354, 472, 624, 708, 767, 944, 1416, 1534, 2301, 2832, 3068, 4602, 6136, 9204, 12272, 18408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36810 and 36816. The biggest common factor number is the GCF number.
So the greatest common factor 36810 and 36816 is 6.

Also check out the Least Common Multiple of 36810 and 36816