What is the Greatest Common Factor of 59252 and 59259?

Greatest common factor (GCF) of 59252 and 59259 is 1.

GCF(59252,59259) = 1

We will now calculate the prime factors of 59252 and 59259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59252 and 59259.

How to find the GCF of 59252 and 59259?

We will first find the prime factorization of 59252 and 59259. After we will calculate the factors of 59252 and 59259 and find the biggest common factor number .

Step-1: Prime Factorization of 59252

Prime factors of 59252 are 2, 14813. Prime factorization of 59252 in exponential form is:

59252 = 2² × 14813¹

Step-2: Prime Factorization of 59259

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

59259 = 3¹ × 19753¹

Step-3: Factors of 59252

List of positive integer factors of 59252 that divides 59252 without a remainder.

1, 2, 4, 14813, 29626

Step-4: Factors of 59259

List of positive integer factors of 59259 that divides 59252 without a remainder.

1, 3, 19753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59252 and 59259. The biggest common factor number is the GCF number.
So the greatest common factor 59252 and 59259 is 1.

Also check out the Least Common Multiple of 59252 and 59259