What is the Greatest Common Factor of 43788 and 43797?

Greatest common factor (GCF) of 43788 and 43797 is 3.

GCF(43788,43797) = 3

We will now calculate the prime factors of 43788 and 43797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43788 and 43797.

How to find the GCF of 43788 and 43797?

We will first find the prime factorization of 43788 and 43797. After we will calculate the factors of 43788 and 43797 and find the biggest common factor number .

Step-1: Prime Factorization of 43788

Prime factors of 43788 are 2, 3, 41, 89. Prime factorization of 43788 in exponential form is:

43788 = 2² × 3¹ × 41¹ × 89¹

Step-2: Prime Factorization of 43797

Prime factors of 43797 are 3, 13, 1123. Prime factorization of 43797 in exponential form is:

43797 = 3¹ × 13¹ × 1123¹

Step-3: Factors of 43788

List of positive integer factors of 43788 that divides 43788 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 89, 123, 164, 178, 246, 267, 356, 492, 534, 1068, 3649, 7298, 10947, 14596, 21894

Step-4: Factors of 43797

List of positive integer factors of 43797 that divides 43788 without a remainder.

1, 3, 13, 39, 1123, 3369, 14599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43788 and 43797. The biggest common factor number is the GCF number.
So the greatest common factor 43788 and 43797 is 3.

Also check out the Least Common Multiple of 43788 and 43797