What is the Greatest Common Factor of 38249 and 38261?

Greatest common factor (GCF) of 38249 and 38261 is 1.

GCF(38249,38261) = 1

We will now calculate the prime factors of 38249 and 38261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38249 and 38261.

How to find the GCF of 38249 and 38261?

We will first find the prime factorization of 38249 and 38261. After we will calculate the factors of 38249 and 38261 and find the biggest common factor number .

Step-1: Prime Factorization of 38249

Prime factors of 38249 are 23, 1663. Prime factorization of 38249 in exponential form is:

38249 = 23¹ × 1663¹

Step-2: Prime Factorization of 38261

Prime factors of 38261 are 38261. Prime factorization of 38261 in exponential form is:

38261 = 38261¹

Step-3: Factors of 38249

List of positive integer factors of 38249 that divides 38249 without a remainder.

1, 23, 1663

Step-4: Factors of 38261

List of positive integer factors of 38261 that divides 38249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38249 and 38261. The biggest common factor number is the GCF number.
So the greatest common factor 38249 and 38261 is 1.

Also check out the Least Common Multiple of 38249 and 38261