What is the Greatest Common Factor of 20059 and 20068?

Greatest common factor (GCF) of 20059 and 20068 is 1.

GCF(20059,20068) = 1

We will now calculate the prime factors of 20059 and 20068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20059 and 20068.

How to find the GCF of 20059 and 20068?

We will first find the prime factorization of 20059 and 20068. After we will calculate the factors of 20059 and 20068 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 20068

Prime factors of 20068 are 2, 29, 173. Prime factorization of 20068 in exponential form is:

20068 = 2² × 29¹ × 173¹

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 20068

List of positive integer factors of 20068 that divides 20059 without a remainder.

1, 2, 4, 29, 58, 116, 173, 346, 692, 5017, 10034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20059 and 20068. The biggest common factor number is the GCF number.
So the greatest common factor 20059 and 20068 is 1.

Also check out the Least Common Multiple of 20059 and 20068