What is the Greatest Common Factor of 58265 and 58271?

Greatest common factor (GCF) of 58265 and 58271 is 1.

GCF(58265,58271) = 1

We will now calculate the prime factors of 58265 and 58271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58265 and 58271.

How to find the GCF of 58265 and 58271?

We will first find the prime factorization of 58265 and 58271. After we will calculate the factors of 58265 and 58271 and find the biggest common factor number .

Step-1: Prime Factorization of 58265

Prime factors of 58265 are 5, 43, 271. Prime factorization of 58265 in exponential form is:

58265 = 5¹ × 43¹ × 271¹

Step-2: Prime Factorization of 58271

Prime factors of 58271 are 58271. Prime factorization of 58271 in exponential form is:

58271 = 58271¹

Step-3: Factors of 58265

List of positive integer factors of 58265 that divides 58265 without a remainder.

1, 5, 43, 215, 271, 1355, 11653

Step-4: Factors of 58271

List of positive integer factors of 58271 that divides 58265 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58265 and 58271. The biggest common factor number is the GCF number.
So the greatest common factor 58265 and 58271 is 1.

Also check out the Least Common Multiple of 58265 and 58271