What is the Greatest Common Factor of 36816 and 36828?

Greatest common factor (GCF) of 36816 and 36828 is 12.

GCF(36816,36828) = 12

We will now calculate the prime factors of 36816 and 36828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36816 and 36828.

How to find the GCF of 36816 and 36828?

We will first find the prime factorization of 36816 and 36828. After we will calculate the factors of 36816 and 36828 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36828

Prime factors of 36828 are 2, 3, 11, 31. Prime factorization of 36828 in exponential form is:

36828 = 2² × 3³ × 11¹ × 31¹

Step-3: Factors of 36816

List of positive integer factors of 36816 that divides 36816 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

Step-4: Factors of 36828

List of positive integer factors of 36828 that divides 36816 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 31, 33, 36, 44, 54, 62, 66, 93, 99, 108, 124, 132, 186, 198, 279, 297, 341, 372, 396, 558, 594, 682, 837, 1023, 1116, 1188, 1364, 1674, 2046, 3069, 3348, 4092, 6138, 9207, 12276, 18414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36816 and 36828. The biggest common factor number is the GCF number.
So the greatest common factor 36816 and 36828 is 12.

Also check out the Least Common Multiple of 36816 and 36828