What is the Greatest Common Factor of 38411 and 38421?

Greatest common factor (GCF) of 38411 and 38421 is 1.

GCF(38411,38421) = 1

We will now calculate the prime factors of 38411 and 38421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38411 and 38421.

How to find the GCF of 38411 and 38421?

We will first find the prime factorization of 38411 and 38421. After we will calculate the factors of 38411 and 38421 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 38421

Prime factors of 38421 are 3, 1423. Prime factorization of 38421 in exponential form is:

38421 = 3³ × 1423¹

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 38421

List of positive integer factors of 38421 that divides 38411 without a remainder.

1, 3, 9, 27, 1423, 4269, 12807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38411 and 38421. The biggest common factor number is the GCF number.
So the greatest common factor 38411 and 38421 is 1.

Also check out the Least Common Multiple of 38411 and 38421