What is the Greatest Common Factor of 43240 and 43249?

Greatest common factor (GCF) of 43240 and 43249 is 1.

GCF(43240,43249) = 1

We will now calculate the prime factors of 43240 and 43249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43240 and 43249.

How to find the GCF of 43240 and 43249?

We will first find the prime factorization of 43240 and 43249. After we will calculate the factors of 43240 and 43249 and find the biggest common factor number .

Step-1: Prime Factorization of 43240

Prime factors of 43240 are 2, 5, 23, 47. Prime factorization of 43240 in exponential form is:

43240 = 2³ × 5¹ × 23¹ × 47¹

Step-2: Prime Factorization of 43249

Prime factors of 43249 are 61, 709. Prime factorization of 43249 in exponential form is:

43249 = 61¹ × 709¹

Step-3: Factors of 43240

List of positive integer factors of 43240 that divides 43240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 47, 92, 94, 115, 184, 188, 230, 235, 376, 460, 470, 920, 940, 1081, 1880, 2162, 4324, 5405, 8648, 10810, 21620

Step-4: Factors of 43249

List of positive integer factors of 43249 that divides 43240 without a remainder.

1, 61, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43240 and 43249. The biggest common factor number is the GCF number.
So the greatest common factor 43240 and 43249 is 1.

Also check out the Least Common Multiple of 43240 and 43249