What is the Greatest Common Factor of 43360 and 43369?

Greatest common factor (GCF) of 43360 and 43369 is 1.

GCF(43360,43369) = 1

We will now calculate the prime factors of 43360 and 43369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43360 and 43369.

How to find the GCF of 43360 and 43369?

We will first find the prime factorization of 43360 and 43369. After we will calculate the factors of 43360 and 43369 and find the biggest common factor number .

Step-1: Prime Factorization of 43360

Prime factors of 43360 are 2, 5, 271. Prime factorization of 43360 in exponential form is:

43360 = 2⁵ × 5¹ × 271¹

Step-2: Prime Factorization of 43369

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

43369 = 31¹ × 1399¹

Step-3: Factors of 43360

List of positive integer factors of 43360 that divides 43360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 271, 542, 1084, 1355, 2168, 2710, 4336, 5420, 8672, 10840, 21680

Step-4: Factors of 43369

List of positive integer factors of 43369 that divides 43360 without a remainder.

1, 31, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43360 and 43369. The biggest common factor number is the GCF number.
So the greatest common factor 43360 and 43369 is 1.

Also check out the Least Common Multiple of 43360 and 43369