What is the Greatest Common Factor of 43249 and 43267?

Greatest common factor (GCF) of 43249 and 43267 is 1.

GCF(43249,43267) = 1

We will now calculate the prime factors of 43249 and 43267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43249 and 43267.

How to find the GCF of 43249 and 43267?

We will first find the prime factorization of 43249 and 43267. After we will calculate the factors of 43249 and 43267 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 43267

Prime factors of 43267 are 7, 883. Prime factorization of 43267 in exponential form is:

43267 = 7² × 883¹

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 43267

List of positive integer factors of 43267 that divides 43249 without a remainder.

1, 7, 49, 883, 6181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43249 and 43267. The biggest common factor number is the GCF number.
So the greatest common factor 43249 and 43267 is 1.

Also check out the Least Common Multiple of 43249 and 43267