What is the Greatest Common Factor of 35787 and 35799?

Greatest common factor (GCF) of 35787 and 35799 is 3.

GCF(35787,35799) = 3

We will now calculate the prime factors of 35787 and 35799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35787 and 35799.

How to find the GCF of 35787 and 35799?

We will first find the prime factorization of 35787 and 35799. After we will calculate the factors of 35787 and 35799 and find the biggest common factor number .

Step-1: Prime Factorization of 35787

Prime factors of 35787 are 3, 79, 151. Prime factorization of 35787 in exponential form is:

35787 = 3¹ × 79¹ × 151¹

Step-2: Prime Factorization of 35799

Prime factors of 35799 are 3, 11933. Prime factorization of 35799 in exponential form is:

35799 = 3¹ × 11933¹

Step-3: Factors of 35787

List of positive integer factors of 35787 that divides 35787 without a remainder.

1, 3, 79, 151, 237, 453, 11929

Step-4: Factors of 35799

List of positive integer factors of 35799 that divides 35787 without a remainder.

1, 3, 11933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35787 and 35799. The biggest common factor number is the GCF number.
So the greatest common factor 35787 and 35799 is 3.

Also check out the Least Common Multiple of 35787 and 35799