What is the Greatest Common Factor of 40249 and 40254?

Greatest common factor (GCF) of 40249 and 40254 is 1.

GCF(40249,40254) = 1

We will now calculate the prime factors of 40249 and 40254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40249 and 40254.

How to find the GCF of 40249 and 40254?

We will first find the prime factorization of 40249 and 40254. After we will calculate the factors of 40249 and 40254 and find the biggest common factor number .

Step-1: Prime Factorization of 40249

Prime factors of 40249 are 11, 3659. Prime factorization of 40249 in exponential form is:

40249 = 11¹ × 3659¹

Step-2: Prime Factorization of 40254

Prime factors of 40254 are 2, 3, 6709. Prime factorization of 40254 in exponential form is:

40254 = 2¹ × 3¹ × 6709¹

Step-3: Factors of 40249

List of positive integer factors of 40249 that divides 40249 without a remainder.

1, 11, 3659

Step-4: Factors of 40254

List of positive integer factors of 40254 that divides 40249 without a remainder.

1, 2, 3, 6, 6709, 13418, 20127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40249 and 40254. The biggest common factor number is the GCF number.
So the greatest common factor 40249 and 40254 is 1.

Also check out the Least Common Multiple of 40249 and 40254