What is the Greatest Common Factor of 59259 and 59271?

Greatest common factor (GCF) of 59259 and 59271 is 3.

GCF(59259,59271) = 3

We will now calculate the prime factors of 59259 and 59271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59259 and 59271.

How to find the GCF of 59259 and 59271?

We will first find the prime factorization of 59259 and 59271. After we will calculate the factors of 59259 and 59271 and find the biggest common factor number .

Step-1: Prime Factorization of 59259

Prime factors of 59259 are 3, 19753. Prime factorization of 59259 in exponential form is:

59259 = 3¹ × 19753¹

Step-2: Prime Factorization of 59271

Prime factors of 59271 are 3, 23, 859. Prime factorization of 59271 in exponential form is:

59271 = 3¹ × 23¹ × 859¹

Step-3: Factors of 59259

List of positive integer factors of 59259 that divides 59259 without a remainder.

1, 3, 19753

Step-4: Factors of 59271

List of positive integer factors of 59271 that divides 59259 without a remainder.

1, 3, 23, 69, 859, 2577, 19757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59259 and 59271. The biggest common factor number is the GCF number.
So the greatest common factor 59259 and 59271 is 3.

Also check out the Least Common Multiple of 59259 and 59271