What is the Greatest Common Factor of 43784 and 43790?

Greatest common factor (GCF) of 43784 and 43790 is 2.

GCF(43784,43790) = 2

We will now calculate the prime factors of 43784 and 43790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43784 and 43790.

How to find the GCF of 43784 and 43790?

We will first find the prime factorization of 43784 and 43790. After we will calculate the factors of 43784 and 43790 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 43790

Prime factors of 43790 are 2, 5, 29, 151. Prime factorization of 43790 in exponential form is:

43790 = 2¹ × 5¹ × 29¹ × 151¹

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 43790

List of positive integer factors of 43790 that divides 43784 without a remainder.

1, 2, 5, 10, 29, 58, 145, 151, 290, 302, 755, 1510, 4379, 8758, 21895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43784 and 43790. The biggest common factor number is the GCF number.
So the greatest common factor 43784 and 43790 is 2.

Also check out the Least Common Multiple of 43784 and 43790