What is the Greatest Common Factor of 40755 and 40766?

Greatest common factor (GCF) of 40755 and 40766 is 11.

GCF(40755,40766) = 11

We will now calculate the prime factors of 40755 and 40766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40755 and 40766.

How to find the GCF of 40755 and 40766?

We will first find the prime factorization of 40755 and 40766. After we will calculate the factors of 40755 and 40766 and find the biggest common factor number .

Step-1: Prime Factorization of 40755

Prime factors of 40755 are 3, 5, 11, 13, 19. Prime factorization of 40755 in exponential form is:

40755 = 3¹ × 5¹ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 40766

Prime factors of 40766 are 2, 11, 17, 109. Prime factorization of 40766 in exponential form is:

40766 = 2¹ × 11¹ × 17¹ × 109¹

Step-3: Factors of 40755

List of positive integer factors of 40755 that divides 40755 without a remainder.

1, 3, 5, 11, 13, 15, 19, 33, 39, 55, 57, 65, 95, 143, 165, 195, 209, 247, 285, 429, 627, 715, 741, 1045, 1235, 2145, 2717, 3135, 3705, 8151, 13585

Step-4: Factors of 40766

List of positive integer factors of 40766 that divides 40755 without a remainder.

1, 2, 11, 17, 22, 34, 109, 187, 218, 374, 1199, 1853, 2398, 3706, 20383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40755 and 40766. The biggest common factor number is the GCF number.
So the greatest common factor 40755 and 40766 is 11.

Also check out the Least Common Multiple of 40755 and 40766