What is the Greatest Common Factor of 23898 and 23918?

Greatest common factor (GCF) of 23898 and 23918 is 2.

GCF(23898,23918) = 2

We will now calculate the prime factors of 23898 and 23918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23898 and 23918.

How to find the GCF of 23898 and 23918?

We will first find the prime factorization of 23898 and 23918. After we will calculate the factors of 23898 and 23918 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 23918

Prime factors of 23918 are 2, 11959. Prime factorization of 23918 in exponential form is:

23918 = 2¹ × 11959¹

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 23918

List of positive integer factors of 23918 that divides 23898 without a remainder.

1, 2, 11959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23898 and 23918. The biggest common factor number is the GCF number.
So the greatest common factor 23898 and 23918 is 2.

Also check out the Least Common Multiple of 23898 and 23918