What is the Greatest Common Factor of 59059 and 59063?

Greatest common factor (GCF) of 59059 and 59063 is 1.

GCF(59059,59063) = 1

We will now calculate the prime factors of 59059 and 59063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59059 and 59063.

How to find the GCF of 59059 and 59063?

We will first find the prime factorization of 59059 and 59063. After we will calculate the factors of 59059 and 59063 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 59063

Prime factors of 59063 are 59063. Prime factorization of 59063 in exponential form is:

59063 = 59063¹

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 59063

List of positive integer factors of 59063 that divides 59059 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59059 and 59063. The biggest common factor number is the GCF number.
So the greatest common factor 59059 and 59063 is 1.

Also check out the Least Common Multiple of 59059 and 59063