What is the Greatest Common Factor of 10900 and 10909?

Greatest common factor (GCF) of 10900 and 10909 is 1.

GCF(10900,10909) = 1

We will now calculate the prime factors of 10900 and 10909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10900 and 10909.

How to find the GCF of 10900 and 10909?

We will first find the prime factorization of 10900 and 10909. After we will calculate the factors of 10900 and 10909 and find the biggest common factor number .

Step-1: Prime Factorization of 10900

Prime factors of 10900 are 2, 5, 109. Prime factorization of 10900 in exponential form is:

10900 = 2² × 5² × 109¹

Step-2: Prime Factorization of 10909

Prime factors of 10909 are 10909. Prime factorization of 10909 in exponential form is:

10909 = 10909¹

Step-3: Factors of 10900

List of positive integer factors of 10900 that divides 10900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 218, 436, 545, 1090, 2180, 2725, 5450

Step-4: Factors of 10909

List of positive integer factors of 10909 that divides 10900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10900 and 10909. The biggest common factor number is the GCF number.
So the greatest common factor 10900 and 10909 is 1.

Also check out the Least Common Multiple of 10900 and 10909