What is the Greatest Common Factor of 20909 and 20918?

Greatest common factor (GCF) of 20909 and 20918 is 1.

GCF(20909,20918) = 1

We will now calculate the prime factors of 20909 and 20918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20909 and 20918.

How to find the GCF of 20909 and 20918?

We will first find the prime factorization of 20909 and 20918. After we will calculate the factors of 20909 and 20918 and find the biggest common factor number .

Step-1: Prime Factorization of 20909

Prime factors of 20909 are 7, 29, 103. Prime factorization of 20909 in exponential form is:

20909 = 7¹ × 29¹ × 103¹

Step-2: Prime Factorization of 20918

Prime factors of 20918 are 2, 10459. Prime factorization of 20918 in exponential form is:

20918 = 2¹ × 10459¹

Step-3: Factors of 20909

List of positive integer factors of 20909 that divides 20909 without a remainder.

1, 7, 29, 103, 203, 721, 2987

Step-4: Factors of 20918

List of positive integer factors of 20918 that divides 20909 without a remainder.

1, 2, 10459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20909 and 20918. The biggest common factor number is the GCF number.
So the greatest common factor 20909 and 20918 is 1.

Also check out the Least Common Multiple of 20909 and 20918