What is the Greatest Common Factor of 20059 and 20072?

Greatest common factor (GCF) of 20059 and 20072 is 13.

GCF(20059,20072) = 13

We will now calculate the prime factors of 20059 and 20072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20059 and 20072.

How to find the GCF of 20059 and 20072?

We will first find the prime factorization of 20059 and 20072. After we will calculate the factors of 20059 and 20072 and find the biggest common factor number .

Step-1: Prime Factorization of 20059

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

20059 = 13¹ × 1543¹

Step-2: Prime Factorization of 20072

Prime factors of 20072 are 2, 13, 193. Prime factorization of 20072 in exponential form is:

20072 = 2³ × 13¹ × 193¹

Step-3: Factors of 20059

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

1, 13, 1543

Step-4: Factors of 20072

List of positive integer factors of 20072 that divides 20059 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 193, 386, 772, 1544, 2509, 5018, 10036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20059 and 20072. The biggest common factor number is the GCF number.
So the greatest common factor 20059 and 20072 is 13.

Also check out the Least Common Multiple of 20059 and 20072