What is the Greatest Common Factor of 58541 and 58555?

Greatest common factor (GCF) of 58541 and 58555 is 7.

GCF(58541,58555) = 7

We will now calculate the prime factors of 58541 and 58555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58541 and 58555.

How to find the GCF of 58541 and 58555?

We will first find the prime factorization of 58541 and 58555. After we will calculate the factors of 58541 and 58555 and find the biggest common factor number .

Step-1: Prime Factorization of 58541

Prime factors of 58541 are 7, 8363. Prime factorization of 58541 in exponential form is:

58541 = 7¹ × 8363¹

Step-2: Prime Factorization of 58555

Prime factors of 58555 are 5, 7, 239. Prime factorization of 58555 in exponential form is:

58555 = 5¹ × 7² × 239¹

Step-3: Factors of 58541

List of positive integer factors of 58541 that divides 58541 without a remainder.

1, 7, 8363

Step-4: Factors of 58555

List of positive integer factors of 58555 that divides 58541 without a remainder.

1, 5, 7, 35, 49, 239, 245, 1195, 1673, 8365, 11711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58541 and 58555. The biggest common factor number is the GCF number.
So the greatest common factor 58541 and 58555 is 7.

Also check out the Least Common Multiple of 58541 and 58555