What is the Greatest Common Factor of 20052 and 20059?

Greatest common factor (GCF) of 20052 and 20059 is 1.

GCF(20052,20059) = 1

We will now calculate the prime factors of 20052 and 20059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20052 and 20059.

How to find the GCF of 20052 and 20059?

We will first find the prime factorization of 20052 and 20059. After we will calculate the factors of 20052 and 20059 and find the biggest common factor number .

Step-1: Prime Factorization of 20052

Prime factors of 20052 are 2, 3, 557. Prime factorization of 20052 in exponential form is:

20052 = 2² × 3² × 557¹

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 20052

List of positive integer factors of 20052 that divides 20052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 557, 1114, 1671, 2228, 3342, 5013, 6684, 10026

Step-4: Factors of 20059

List of positive integer factors of 20059 that divides 20052 without a remainder.

1, 13, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20052 and 20059. The biggest common factor number is the GCF number.
So the greatest common factor 20052 and 20059 is 1.

Also check out the Least Common Multiple of 20052 and 20059