What is the Greatest Common Factor of 36816 and 36832?

Greatest common factor (GCF) of 36816 and 36832 is 16.

GCF(36816,36832) = 16

We will now calculate the prime factors of 36816 and 36832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36816 and 36832.

How to find the GCF of 36816 and 36832?

We will first find the prime factorization of 36816 and 36832. After we will calculate the factors of 36816 and 36832 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 36832

Prime factors of 36832 are 2, 1151. Prime factorization of 36832 in exponential form is:

36832 = 2⁵ × 1151¹

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 36832

List of positive integer factors of 36832 that divides 36816 without a remainder.

1, 2, 4, 8, 16, 32, 1151, 2302, 4604, 9208, 18416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36816 and 36832. The biggest common factor number is the GCF number.
So the greatest common factor 36816 and 36832 is 16.

Also check out the Least Common Multiple of 36816 and 36832