What is the Greatest Common Factor of 59059 and 59075?

Greatest common factor (GCF) of 59059 and 59075 is 1.

GCF(59059,59075) = 1

We will now calculate the prime factors of 59059 and 59075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59059 and 59075.

How to find the GCF of 59059 and 59075?

We will first find the prime factorization of 59059 and 59075. After we will calculate the factors of 59059 and 59075 and find the biggest common factor number .

Step-1: Prime Factorization of 59059

Prime factors of 59059 are 7, 11, 13, 59. Prime factorization of 59059 in exponential form is:

59059 = 7¹ × 11¹ × 13¹ × 59¹

Step-2: Prime Factorization of 59075

Prime factors of 59075 are 5, 17, 139. Prime factorization of 59075 in exponential form is:

59075 = 5² × 17¹ × 139¹

Step-3: Factors of 59059

List of positive integer factors of 59059 that divides 59059 without a remainder.

1, 7, 11, 13, 59, 77, 91, 143, 413, 649, 767, 1001, 4543, 5369, 8437

Step-4: Factors of 59075

List of positive integer factors of 59075 that divides 59059 without a remainder.

1, 5, 17, 25, 85, 139, 425, 695, 2363, 3475, 11815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59059 and 59075. The biggest common factor number is the GCF number.
So the greatest common factor 59059 and 59075 is 1.

Also check out the Least Common Multiple of 59059 and 59075