What is the Greatest Common Factor of 40797 and 40812?

Greatest common factor (GCF) of 40797 and 40812 is 3.

GCF(40797,40812) = 3

We will now calculate the prime factors of 40797 and 40812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40797 and 40812.

How to find the GCF of 40797 and 40812?

We will first find the prime factorization of 40797 and 40812. After we will calculate the factors of 40797 and 40812 and find the biggest common factor number .

Step-1: Prime Factorization of 40797

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

40797 = 3³ × 1511¹

Step-2: Prime Factorization of 40812

Prime factors of 40812 are 2, 3, 19, 179. Prime factorization of 40812 in exponential form is:

40812 = 2² × 3¹ × 19¹ × 179¹

Step-3: Factors of 40797

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

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

Step-4: Factors of 40812

List of positive integer factors of 40812 that divides 40797 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 179, 228, 358, 537, 716, 1074, 2148, 3401, 6802, 10203, 13604, 20406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40797 and 40812. The biggest common factor number is the GCF number.
So the greatest common factor 40797 and 40812 is 3.

Also check out the Least Common Multiple of 40797 and 40812