What is the Greatest Common Factor of 39777 and 39783?

Greatest common factor (GCF) of 39777 and 39783 is 3.

GCF(39777,39783) = 3

We will now calculate the prime factors of 39777 and 39783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39777 and 39783.

How to find the GCF of 39777 and 39783?

We will first find the prime factorization of 39777 and 39783. After we will calculate the factors of 39777 and 39783 and find the biggest common factor number .

Step-1: Prime Factorization of 39777

Prime factors of 39777 are 3, 13259. Prime factorization of 39777 in exponential form is:

39777 = 3¹ × 13259¹

Step-2: 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-3: Factors of 39777

List of positive integer factors of 39777 that divides 39777 without a remainder.

1, 3, 13259

Step-4: Factors of 39783

List of positive integer factors of 39783 that divides 39777 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39777 and 39783. The biggest common factor number is the GCF number.
So the greatest common factor 39777 and 39783 is 3.

Also check out the Least Common Multiple of 39777 and 39783