What is the Greatest Common Factor of 40788 and 40806?

Greatest common factor (GCF) of 40788 and 40806 is 18.

GCF(40788,40806) = 18

We will now calculate the prime factors of 40788 and 40806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40788 and 40806.

How to find the GCF of 40788 and 40806?

We will first find the prime factorization of 40788 and 40806. After we will calculate the factors of 40788 and 40806 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 40806

Prime factors of 40806 are 2, 3, 2267. Prime factorization of 40806 in exponential form is:

40806 = 2¹ × 3² × 2267¹

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 40806

List of positive integer factors of 40806 that divides 40788 without a remainder.

1, 2, 3, 6, 9, 18, 2267, 4534, 6801, 13602, 20403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40788 and 40806. The biggest common factor number is the GCF number.
So the greatest common factor 40788 and 40806 is 18.

Also check out the Least Common Multiple of 40788 and 40806