What is the Greatest Common Factor of 20899 and 20905?

Greatest common factor (GCF) of 20899 and 20905 is 1.

GCF(20899,20905) = 1

We will now calculate the prime factors of 20899 and 20905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20899 and 20905.

How to find the GCF of 20899 and 20905?

We will first find the prime factorization of 20899 and 20905. After we will calculate the factors of 20899 and 20905 and find the biggest common factor number .

Step-1: Prime Factorization of 20899

Prime factors of 20899 are 20899. Prime factorization of 20899 in exponential form is:

20899 = 20899¹

Step-2: Prime Factorization of 20905

Prime factors of 20905 are 5, 37, 113. Prime factorization of 20905 in exponential form is:

20905 = 5¹ × 37¹ × 113¹

Step-3: Factors of 20899

List of positive integer factors of 20899 that divides 20899 without a remainder.

Step-4: Factors of 20905

List of positive integer factors of 20905 that divides 20899 without a remainder.

1, 5, 37, 113, 185, 565, 4181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20899 and 20905. The biggest common factor number is the GCF number.
So the greatest common factor 20899 and 20905 is 1.

Also check out the Least Common Multiple of 20899 and 20905