What is the Greatest Common Factor of 23898 and 23909?

Greatest common factor (GCF) of 23898 and 23909 is 1.

GCF(23898,23909) = 1

We will now calculate the prime factors of 23898 and 23909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23898 and 23909.

How to find the GCF of 23898 and 23909?

We will first find the prime factorization of 23898 and 23909. After we will calculate the factors of 23898 and 23909 and find the biggest common factor number .

Step-1: Prime Factorization of 23898

Prime factors of 23898 are 2, 3, 7, 569. Prime factorization of 23898 in exponential form is:

23898 = 2¹ × 3¹ × 7¹ × 569¹

Step-2: Prime Factorization of 23909

Prime factors of 23909 are 23909. Prime factorization of 23909 in exponential form is:

23909 = 23909¹

Step-3: Factors of 23898

List of positive integer factors of 23898 that divides 23898 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 569, 1138, 1707, 3414, 3983, 7966, 11949

Step-4: Factors of 23909

List of positive integer factors of 23909 that divides 23898 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23898 and 23909. The biggest common factor number is the GCF number.
So the greatest common factor 23898 and 23909 is 1.

Also check out the Least Common Multiple of 23898 and 23909