What is the Greatest Common Factor of 20909 and 20926?

Greatest common factor (GCF) of 20909 and 20926 is 1.

GCF(20909,20926) = 1

We will now calculate the prime factors of 20909 and 20926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20909 and 20926.

How to find the GCF of 20909 and 20926?

We will first find the prime factorization of 20909 and 20926. After we will calculate the factors of 20909 and 20926 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 20926

Prime factors of 20926 are 2, 10463. Prime factorization of 20926 in exponential form is:

20926 = 2¹ × 10463¹

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 20926

List of positive integer factors of 20926 that divides 20909 without a remainder.

1, 2, 10463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20909 and 20926. The biggest common factor number is the GCF number.
So the greatest common factor 20909 and 20926 is 1.

Also check out the Least Common Multiple of 20909 and 20926