What is the Greatest Common Factor of 43784 and 43788?

Greatest common factor (GCF) of 43784 and 43788 is 4.

GCF(43784,43788) = 4

We will now calculate the prime factors of 43784 and 43788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43784 and 43788.

How to find the GCF of 43784 and 43788?

We will first find the prime factorization of 43784 and 43788. After we will calculate the factors of 43784 and 43788 and find the biggest common factor number .

Step-1: Prime Factorization of 43784

Prime factors of 43784 are 2, 13, 421. Prime factorization of 43784 in exponential form is:

43784 = 2³ × 13¹ × 421¹

Step-2: 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-3: Factors of 43784

List of positive integer factors of 43784 that divides 43784 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 421, 842, 1684, 3368, 5473, 10946, 21892

Step-4: Factors of 43788

List of positive integer factors of 43788 that divides 43784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43784 and 43788. The biggest common factor number is the GCF number.
So the greatest common factor 43784 and 43788 is 4.

Also check out the Least Common Multiple of 43784 and 43788