What is the Greatest Common Factor of 38521 and 38541?

Greatest common factor (GCF) of 38521 and 38541 is 1.

GCF(38521,38541) = 1

We will now calculate the prime factors of 38521 and 38541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38521 and 38541.

How to find the GCF of 38521 and 38541?

We will first find the prime factorization of 38521 and 38541. After we will calculate the factors of 38521 and 38541 and find the biggest common factor number .

Step-1: Prime Factorization of 38521

Prime factors of 38521 are 7, 5503. Prime factorization of 38521 in exponential form is:

38521 = 7¹ × 5503¹

Step-2: Prime Factorization of 38541

Prime factors of 38541 are 3, 29, 443. Prime factorization of 38541 in exponential form is:

38541 = 3¹ × 29¹ × 443¹

Step-3: Factors of 38521

List of positive integer factors of 38521 that divides 38521 without a remainder.

1, 7, 5503

Step-4: Factors of 38541

List of positive integer factors of 38541 that divides 38521 without a remainder.

1, 3, 29, 87, 443, 1329, 12847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38521 and 38541. The biggest common factor number is the GCF number.
So the greatest common factor 38521 and 38541 is 1.

Also check out the Least Common Multiple of 38521 and 38541