What is the Greatest Common Factor of 40788 and 40797?

Greatest common factor (GCF) of 40788 and 40797 is 9.

GCF(40788,40797) = 9

We will now calculate the prime factors of 40788 and 40797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40788 and 40797.

How to find the GCF of 40788 and 40797?

We will first find the prime factorization of 40788 and 40797. After we will calculate the factors of 40788 and 40797 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 40797

Prime factors of 40797 are 3, 1511. Prime factorization of 40797 in exponential form is:

40797 = 3³ × 1511¹

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 40797

List of positive integer factors of 40797 that divides 40788 without a remainder.

1, 3, 9, 27, 1511, 4533, 13599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40788 and 40797. The biggest common factor number is the GCF number.
So the greatest common factor 40788 and 40797 is 9.

Also check out the Least Common Multiple of 40788 and 40797