What is the Greatest Common Factor of 20029 and 20042?

Greatest common factor (GCF) of 20029 and 20042 is 1.

GCF(20029,20042) = 1

We will now calculate the prime factors of 20029 and 20042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20029 and 20042.

How to find the GCF of 20029 and 20042?

We will first find the prime factorization of 20029 and 20042. After we will calculate the factors of 20029 and 20042 and find the biggest common factor number .

Step-1: Prime Factorization of 20029

Prime factors of 20029 are 20029. Prime factorization of 20029 in exponential form is:

20029 = 20029¹

Step-2: Prime Factorization of 20042

Prime factors of 20042 are 2, 11, 911. Prime factorization of 20042 in exponential form is:

20042 = 2¹ × 11¹ × 911¹

Step-3: Factors of 20029

List of positive integer factors of 20029 that divides 20029 without a remainder.

Step-4: Factors of 20042

List of positive integer factors of 20042 that divides 20029 without a remainder.

1, 2, 11, 22, 911, 1822, 10021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20029 and 20042. The biggest common factor number is the GCF number.
So the greatest common factor 20029 and 20042 is 1.

Also check out the Least Common Multiple of 20029 and 20042