What is the Greatest Common Factor of 20009 and 20027?

Greatest common factor (GCF) of 20009 and 20027 is 1.

GCF(20009,20027) = 1

We will now calculate the prime factors of 20009 and 20027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20009 and 20027.

How to find the GCF of 20009 and 20027?

We will first find the prime factorization of 20009 and 20027. After we will calculate the factors of 20009 and 20027 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 20027

Prime factors of 20027 are 7, 2861. Prime factorization of 20027 in exponential form is:

20027 = 7¹ × 2861¹

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 20027

List of positive integer factors of 20027 that divides 20009 without a remainder.

1, 7, 2861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20009 and 20027. The biggest common factor number is the GCF number.
So the greatest common factor 20009 and 20027 is 1.

Also check out the Least Common Multiple of 20009 and 20027