What is the Greatest Common Factor of 20050 and 20059?

Greatest common factor (GCF) of 20050 and 20059 is 1.

GCF(20050,20059) = 1

We will now calculate the prime factors of 20050 and 20059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20050 and 20059.

How to find the GCF of 20050 and 20059?

We will first find the prime factorization of 20050 and 20059. After we will calculate the factors of 20050 and 20059 and find the biggest common factor number .

Step-1: Prime Factorization of 20050

Prime factors of 20050 are 2, 5, 401. Prime factorization of 20050 in exponential form is:

20050 = 2¹ × 5² × 401¹

Step-2: Prime Factorization of 20059

Prime factors of 20059 are 13, 1543. Prime factorization of 20059 in exponential form is:

20059 = 13¹ × 1543¹

Step-3: Factors of 20050

List of positive integer factors of 20050 that divides 20050 without a remainder.

1, 2, 5, 10, 25, 50, 401, 802, 2005, 4010, 10025

Step-4: Factors of 20059

List of positive integer factors of 20059 that divides 20050 without a remainder.

1, 13, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20050 and 20059. The biggest common factor number is the GCF number.
So the greatest common factor 20050 and 20059 is 1.

Also check out the Least Common Multiple of 20050 and 20059