What is the Greatest Common Factor of 43249 and 43261?

Greatest common factor (GCF) of 43249 and 43261 is 1.

GCF(43249,43261) = 1

We will now calculate the prime factors of 43249 and 43261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43249 and 43261.

How to find the GCF of 43249 and 43261?

We will first find the prime factorization of 43249 and 43261. After we will calculate the factors of 43249 and 43261 and find the biggest common factor number .

Step-1: Prime Factorization of 43249

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

43249 = 61¹ × 709¹

Step-2: Prime Factorization of 43261

Prime factors of 43261 are 43261. Prime factorization of 43261 in exponential form is:

43261 = 43261¹

Step-3: Factors of 43249

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

1, 61, 709

Step-4: Factors of 43261

List of positive integer factors of 43261 that divides 43249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43249 and 43261. The biggest common factor number is the GCF number.
So the greatest common factor 43249 and 43261 is 1.

Also check out the Least Common Multiple of 43249 and 43261