What is the Greatest Common Factor of 59050 and 59069?

Greatest common factor (GCF) of 59050 and 59069 is 1.

GCF(59050,59069) = 1

We will now calculate the prime factors of 59050 and 59069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59050 and 59069.

How to find the GCF of 59050 and 59069?

We will first find the prime factorization of 59050 and 59069. After we will calculate the factors of 59050 and 59069 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 59069

Prime factors of 59069 are 59069. Prime factorization of 59069 in exponential form is:

59069 = 59069¹

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 59069

List of positive integer factors of 59069 that divides 59050 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59050 and 59069. The biggest common factor number is the GCF number.
So the greatest common factor 59050 and 59069 is 1.

Also check out the Least Common Multiple of 59050 and 59069