What is the Greatest Common Factor of 20009 and 20029?

Greatest common factor (GCF) of 20009 and 20029 is 1.

GCF(20009,20029) = 1

We will now calculate the prime factors of 20009 and 20029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20009 and 20029.

How to find the GCF of 20009 and 20029?

We will first find the prime factorization of 20009 and 20029. After we will calculate the factors of 20009 and 20029 and find the biggest common factor number .

Step-1: Prime Factorization of 20009

Prime factors of 20009 are 11, 17, 107. Prime factorization of 20009 in exponential form is:

20009 = 11¹ × 17¹ × 107¹

Step-2: Prime Factorization of 20029

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

20029 = 20029¹

Step-3: Factors of 20009

List of positive integer factors of 20009 that divides 20009 without a remainder.

1, 11, 17, 107, 187, 1177, 1819

Step-4: Factors of 20029

List of positive integer factors of 20029 that divides 20009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20009 and 20029. The biggest common factor number is the GCF number.
So the greatest common factor 20009 and 20029 is 1.

Also check out the Least Common Multiple of 20009 and 20029