What is the Greatest Common Factor of 58525 and 58541?

Greatest common factor (GCF) of 58525 and 58541 is 1.

GCF(58525,58541) = 1

We will now calculate the prime factors of 58525 and 58541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58525 and 58541.

How to find the GCF of 58525 and 58541?

We will first find the prime factorization of 58525 and 58541. After we will calculate the factors of 58525 and 58541 and find the biggest common factor number .

Step-1: Prime Factorization of 58525

Prime factors of 58525 are 5, 2341. Prime factorization of 58525 in exponential form is:

58525 = 5² × 2341¹

Step-2: Prime Factorization of 58541

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

58541 = 7¹ × 8363¹

Step-3: Factors of 58525

List of positive integer factors of 58525 that divides 58525 without a remainder.

1, 5, 25, 2341, 11705

Step-4: Factors of 58541

List of positive integer factors of 58541 that divides 58525 without a remainder.

1, 7, 8363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58525 and 58541. The biggest common factor number is the GCF number.
So the greatest common factor 58525 and 58541 is 1.

Also check out the Least Common Multiple of 58525 and 58541