What is the Greatest Common Factor of 39783 and 39792?

Greatest common factor (GCF) of 39783 and 39792 is 3.

GCF(39783,39792) = 3

We will now calculate the prime factors of 39783 and 39792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39783 and 39792.

How to find the GCF of 39783 and 39792?

We will first find the prime factorization of 39783 and 39792. After we will calculate the factors of 39783 and 39792 and find the biggest common factor number .

Step-1: Prime Factorization of 39783

Prime factors of 39783 are 3, 89, 149. Prime factorization of 39783 in exponential form is:

39783 = 3¹ × 89¹ × 149¹

Step-2: Prime Factorization of 39792

Prime factors of 39792 are 2, 3, 829. Prime factorization of 39792 in exponential form is:

39792 = 2⁴ × 3¹ × 829¹

Step-3: Factors of 39783

List of positive integer factors of 39783 that divides 39783 without a remainder.

1, 3, 89, 149, 267, 447, 13261

Step-4: Factors of 39792

List of positive integer factors of 39792 that divides 39783 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39783 and 39792. The biggest common factor number is the GCF number.
So the greatest common factor 39783 and 39792 is 3.

Also check out the Least Common Multiple of 39783 and 39792