What is the Greatest Common Factor of 38411 and 38425?

Greatest common factor (GCF) of 38411 and 38425 is 1.

GCF(38411,38425) = 1

We will now calculate the prime factors of 38411 and 38425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38411 and 38425.

How to find the GCF of 38411 and 38425?

We will first find the prime factorization of 38411 and 38425. After we will calculate the factors of 38411 and 38425 and find the biggest common factor number .

Step-1: Prime Factorization of 38411

Prime factors of 38411 are 71, 541. Prime factorization of 38411 in exponential form is:

38411 = 71¹ × 541¹

Step-2: Prime Factorization of 38425

Prime factors of 38425 are 5, 29, 53. Prime factorization of 38425 in exponential form is:

38425 = 5² × 29¹ × 53¹

Step-3: Factors of 38411

List of positive integer factors of 38411 that divides 38411 without a remainder.

1, 71, 541

Step-4: Factors of 38425

List of positive integer factors of 38425 that divides 38411 without a remainder.

1, 5, 25, 29, 53, 145, 265, 725, 1325, 1537, 7685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38411 and 38425. The biggest common factor number is the GCF number.
So the greatest common factor 38411 and 38425 is 1.

Also check out the Least Common Multiple of 38411 and 38425