What is the Greatest Common Factor of 20029 and 20043?

Greatest common factor (GCF) of 20029 and 20043 is 1.

GCF(20029,20043) = 1

We will now calculate the prime factors of 20029 and 20043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20029 and 20043.

How to find the GCF of 20029 and 20043?

We will first find the prime factorization of 20029 and 20043. After we will calculate the factors of 20029 and 20043 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 20043

Prime factors of 20043 are 3, 17, 131. Prime factorization of 20043 in exponential form is:

20043 = 3² × 17¹ × 131¹

Step-3: Factors of 20029

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

Step-4: Factors of 20043

List of positive integer factors of 20043 that divides 20029 without a remainder.

1, 3, 9, 17, 51, 131, 153, 393, 1179, 2227, 6681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20029 and 20043. The biggest common factor number is the GCF number.
So the greatest common factor 20029 and 20043 is 1.

Also check out the Least Common Multiple of 20029 and 20043