What is the Greatest Common Factor of 38261 and 38274?

Greatest common factor (GCF) of 38261 and 38274 is 1.

GCF(38261,38274) = 1

We will now calculate the prime factors of 38261 and 38274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38261 and 38274.

How to find the GCF of 38261 and 38274?

We will first find the prime factorization of 38261 and 38274. After we will calculate the factors of 38261 and 38274 and find the biggest common factor number .

Step-1: Prime Factorization of 38261

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

38261 = 38261¹

Step-2: Prime Factorization of 38274

Prime factors of 38274 are 2, 3, 6379. Prime factorization of 38274 in exponential form is:

38274 = 2¹ × 3¹ × 6379¹

Step-3: Factors of 38261

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

Step-4: Factors of 38274

List of positive integer factors of 38274 that divides 38261 without a remainder.

1, 2, 3, 6, 6379, 12758, 19137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38261 and 38274. The biggest common factor number is the GCF number.
So the greatest common factor 38261 and 38274 is 1.

Also check out the Least Common Multiple of 38261 and 38274