What is the Greatest Common Factor of 35766 and 35775?

Greatest common factor (GCF) of 35766 and 35775 is 9.

GCF(35766,35775) = 9

We will now calculate the prime factors of 35766 and 35775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35766 and 35775.

How to find the GCF of 35766 and 35775?

We will first find the prime factorization of 35766 and 35775. After we will calculate the factors of 35766 and 35775 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 35775

Prime factors of 35775 are 3, 5, 53. Prime factorization of 35775 in exponential form is:

35775 = 3³ × 5² × 53¹

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 35775

List of positive integer factors of 35775 that divides 35766 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 53, 75, 135, 159, 225, 265, 477, 675, 795, 1325, 1431, 2385, 3975, 7155, 11925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35766 and 35775. The biggest common factor number is the GCF number.
So the greatest common factor 35766 and 35775 is 9.

Also check out the Least Common Multiple of 35766 and 35775