What is the Greatest Common Factor of 36768 and 36783?

Greatest common factor (GCF) of 36768 and 36783 is 3.

GCF(36768,36783) = 3

We will now calculate the prime factors of 36768 and 36783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36768 and 36783.

How to find the GCF of 36768 and 36783?

We will first find the prime factorization of 36768 and 36783. After we will calculate the factors of 36768 and 36783 and find the biggest common factor number .

Step-1: Prime Factorization of 36768

Prime factors of 36768 are 2, 3, 383. Prime factorization of 36768 in exponential form is:

36768 = 2⁵ × 3¹ × 383¹

Step-2: Prime Factorization of 36783

Prime factors of 36783 are 3, 61, 67. Prime factorization of 36783 in exponential form is:

36783 = 3² × 61¹ × 67¹

Step-3: Factors of 36768

List of positive integer factors of 36768 that divides 36768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 12256, 18384

Step-4: Factors of 36783

List of positive integer factors of 36783 that divides 36768 without a remainder.

1, 3, 9, 61, 67, 183, 201, 549, 603, 4087, 12261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36768 and 36783. The biggest common factor number is the GCF number.
So the greatest common factor 36768 and 36783 is 3.

Also check out the Least Common Multiple of 36768 and 36783