What is the Greatest Common Factor of 38249 and 38260?

Greatest common factor (GCF) of 38249 and 38260 is 1.

GCF(38249,38260) = 1

We will now calculate the prime factors of 38249 and 38260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38249 and 38260.

How to find the GCF of 38249 and 38260?

We will first find the prime factorization of 38249 and 38260. After we will calculate the factors of 38249 and 38260 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 38260

Prime factors of 38260 are 2, 5, 1913. Prime factorization of 38260 in exponential form is:

38260 = 2² × 5¹ × 1913¹

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 38260

List of positive integer factors of 38260 that divides 38249 without a remainder.

1, 2, 4, 5, 10, 20, 1913, 3826, 7652, 9565, 19130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38249 and 38260. The biggest common factor number is the GCF number.
So the greatest common factor 38249 and 38260 is 1.

Also check out the Least Common Multiple of 38249 and 38260