What is the Greatest Common Factor of 40755 and 40774?

Greatest common factor (GCF) of 40755 and 40774 is 19.

GCF(40755,40774) = 19

We will now calculate the prime factors of 40755 and 40774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40755 and 40774.

How to find the GCF of 40755 and 40774?

We will first find the prime factorization of 40755 and 40774. After we will calculate the factors of 40755 and 40774 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 40774

Prime factors of 40774 are 2, 19, 29, 37. Prime factorization of 40774 in exponential form is:

40774 = 2¹ × 19¹ × 29¹ × 37¹

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 40774

List of positive integer factors of 40774 that divides 40755 without a remainder.

1, 2, 19, 29, 37, 38, 58, 74, 551, 703, 1073, 1102, 1406, 2146, 20387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40755 and 40774. The biggest common factor number is the GCF number.
So the greatest common factor 40755 and 40774 is 19.

Also check out the Least Common Multiple of 40755 and 40774