What is the Greatest Common Factor of 43369 and 43384?

Greatest common factor (GCF) of 43369 and 43384 is 1.

GCF(43369,43384) = 1

We will now calculate the prime factors of 43369 and 43384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43369 and 43384.

How to find the GCF of 43369 and 43384?

We will first find the prime factorization of 43369 and 43384. After we will calculate the factors of 43369 and 43384 and find the biggest common factor number .

Step-1: Prime Factorization of 43369

Prime factors of 43369 are 31, 1399. Prime factorization of 43369 in exponential form is:

43369 = 31¹ × 1399¹

Step-2: Prime Factorization of 43384

Prime factors of 43384 are 2, 11, 17, 29. Prime factorization of 43384 in exponential form is:

43384 = 2³ × 11¹ × 17¹ × 29¹

Step-3: Factors of 43369

List of positive integer factors of 43369 that divides 43369 without a remainder.

1, 31, 1399

Step-4: Factors of 43384

List of positive integer factors of 43384 that divides 43369 without a remainder.

1, 2, 4, 8, 11, 17, 22, 29, 34, 44, 58, 68, 88, 116, 136, 187, 232, 319, 374, 493, 638, 748, 986, 1276, 1496, 1972, 2552, 3944, 5423, 10846, 21692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43369 and 43384. The biggest common factor number is the GCF number.
So the greatest common factor 43369 and 43384 is 1.

Also check out the Least Common Multiple of 43369 and 43384