What is the Greatest Common Factor of 40788 and 40805?

Greatest common factor (GCF) of 40788 and 40805 is 1.

GCF(40788,40805) = 1

We will now calculate the prime factors of 40788 and 40805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40788 and 40805.

How to find the GCF of 40788 and 40805?

We will first find the prime factorization of 40788 and 40805. After we will calculate the factors of 40788 and 40805 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 40805

Prime factors of 40805 are 5, 8161. Prime factorization of 40805 in exponential form is:

40805 = 5¹ × 8161¹

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 40805

List of positive integer factors of 40805 that divides 40788 without a remainder.

1, 5, 8161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40788 and 40805. The biggest common factor number is the GCF number.
So the greatest common factor 40788 and 40805 is 1.

Also check out the Least Common Multiple of 40788 and 40805