What is the Greatest Common Factor of 23792 and 23798?

Greatest common factor (GCF) of 23792 and 23798 is 2.

GCF(23792,23798) = 2

We will now calculate the prime factors of 23792 and 23798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23792 and 23798.

How to find the GCF of 23792 and 23798?

We will first find the prime factorization of 23792 and 23798. After we will calculate the factors of 23792 and 23798 and find the biggest common factor number .

Step-1: Prime Factorization of 23792

Prime factors of 23792 are 2, 1487. Prime factorization of 23792 in exponential form is:

23792 = 2⁴ × 1487¹

Step-2: 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-3: Factors of 23792

List of positive integer factors of 23792 that divides 23792 without a remainder.

1, 2, 4, 8, 16, 1487, 2974, 5948, 11896

Step-4: Factors of 23798

List of positive integer factors of 23798 that divides 23792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23792 and 23798. The biggest common factor number is the GCF number.
So the greatest common factor 23792 and 23798 is 2.

Also check out the Least Common Multiple of 23792 and 23798