What is the Greatest Common Factor of 40788 and 40799?

Greatest common factor (GCF) of 40788 and 40799 is 11.

GCF(40788,40799) = 11

We will now calculate the prime factors of 40788 and 40799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40788 and 40799.

How to find the GCF of 40788 and 40799?

We will first find the prime factorization of 40788 and 40799. After we will calculate the factors of 40788 and 40799 and find the biggest common factor number .

Step-1: Prime Factorization of 40788

Prime factors of 40788 are 2, 3, 11, 103. Prime factorization of 40788 in exponential form is:

40788 = 2² × 3² × 11¹ × 103¹

Step-2: Prime Factorization of 40799

Prime factors of 40799 are 11, 3709. Prime factorization of 40799 in exponential form is:

40799 = 11¹ × 3709¹

Step-3: Factors of 40788

List of positive integer factors of 40788 that divides 40788 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 103, 132, 198, 206, 309, 396, 412, 618, 927, 1133, 1236, 1854, 2266, 3399, 3708, 4532, 6798, 10197, 13596, 20394

Step-4: Factors of 40799

List of positive integer factors of 40799 that divides 40788 without a remainder.

1, 11, 3709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40788 and 40799. The biggest common factor number is the GCF number.
So the greatest common factor 40788 and 40799 is 11.

Also check out the Least Common Multiple of 40788 and 40799