What is the Greatest Common Factor of 23798 and 23818?

Greatest common factor (GCF) of 23798 and 23818 is 2.

GCF(23798,23818) = 2

We will now calculate the prime factors of 23798 and 23818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23798 and 23818.

How to find the GCF of 23798 and 23818?

We will first find the prime factorization of 23798 and 23818. After we will calculate the factors of 23798 and 23818 and find the biggest common factor number .

Step-1: Prime Factorization of 23798

Prime factors of 23798 are 2, 73, 163. Prime factorization of 23798 in exponential form is:

23798 = 2¹ × 73¹ × 163¹

Step-2: Prime Factorization of 23818

Prime factors of 23818 are 2, 11909. Prime factorization of 23818 in exponential form is:

23818 = 2¹ × 11909¹

Step-3: Factors of 23798

List of positive integer factors of 23798 that divides 23798 without a remainder.

1, 2, 73, 146, 163, 326, 11899

Step-4: Factors of 23818

List of positive integer factors of 23818 that divides 23798 without a remainder.

1, 2, 11909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23798 and 23818. The biggest common factor number is the GCF number.
So the greatest common factor 23798 and 23818 is 2.

Also check out the Least Common Multiple of 23798 and 23818