What is the Greatest Common Factor of 35766 and 35781?

Greatest common factor (GCF) of 35766 and 35781 is 3.

GCF(35766,35781) = 3

We will now calculate the prime factors of 35766 and 35781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35766 and 35781.

How to find the GCF of 35766 and 35781?

We will first find the prime factorization of 35766 and 35781. After we will calculate the factors of 35766 and 35781 and find the biggest common factor number .

Step-1: Prime Factorization of 35766

Prime factors of 35766 are 2, 3, 1987. Prime factorization of 35766 in exponential form is:

35766 = 2¹ × 3² × 1987¹

Step-2: Prime Factorization of 35781

Prime factors of 35781 are 3, 11927. Prime factorization of 35781 in exponential form is:

35781 = 3¹ × 11927¹

Step-3: Factors of 35766

List of positive integer factors of 35766 that divides 35766 without a remainder.

1, 2, 3, 6, 9, 18, 1987, 3974, 5961, 11922, 17883

Step-4: Factors of 35781

List of positive integer factors of 35781 that divides 35766 without a remainder.

1, 3, 11927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35766 and 35781. The biggest common factor number is the GCF number.
So the greatest common factor 35766 and 35781 is 3.

Also check out the Least Common Multiple of 35766 and 35781