What is the Greatest Common Factor of 36369 and 36378?

Greatest common factor (GCF) of 36369 and 36378 is 9.

GCF(36369,36378) = 9

We will now calculate the prime factors of 36369 and 36378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36369 and 36378.

How to find the GCF of 36369 and 36378?

We will first find the prime factorization of 36369 and 36378. After we will calculate the factors of 36369 and 36378 and find the biggest common factor number .

Step-1: Prime Factorization of 36369

Prime factors of 36369 are 3, 449. Prime factorization of 36369 in exponential form is:

36369 = 3⁴ × 449¹

Step-2: Prime Factorization of 36378

Prime factors of 36378 are 2, 3, 43, 47. Prime factorization of 36378 in exponential form is:

36378 = 2¹ × 3² × 43¹ × 47¹

Step-3: Factors of 36369

List of positive integer factors of 36369 that divides 36369 without a remainder.

1, 3, 9, 27, 81, 449, 1347, 4041, 12123

Step-4: Factors of 36378

List of positive integer factors of 36378 that divides 36369 without a remainder.

1, 2, 3, 6, 9, 18, 43, 47, 86, 94, 129, 141, 258, 282, 387, 423, 774, 846, 2021, 4042, 6063, 12126, 18189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36369 and 36378. The biggest common factor number is the GCF number.
So the greatest common factor 36369 and 36378 is 9.

Also check out the Least Common Multiple of 36369 and 36378