What is the Greatest Common Factor of 59050 and 59059?

Greatest common factor (GCF) of 59050 and 59059 is 1.

GCF(59050,59059) = 1

We will now calculate the prime factors of 59050 and 59059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59050 and 59059.

How to find the GCF of 59050 and 59059?

We will first find the prime factorization of 59050 and 59059. After we will calculate the factors of 59050 and 59059 and find the biggest common factor number .

Step-1: Prime Factorization of 59050

Prime factors of 59050 are 2, 5, 1181. Prime factorization of 59050 in exponential form is:

59050 = 2¹ × 5² × 1181¹

Step-2: 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-3: Factors of 59050

List of positive integer factors of 59050 that divides 59050 without a remainder.

1, 2, 5, 10, 25, 50, 1181, 2362, 5905, 11810, 29525

Step-4: Factors of 59059

List of positive integer factors of 59059 that divides 59050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59050 and 59059. The biggest common factor number is the GCF number.
So the greatest common factor 59050 and 59059 is 1.

Also check out the Least Common Multiple of 59050 and 59059