What is the Greatest Common Factor of 23798 and 23804?

Greatest common factor (GCF) of 23798 and 23804 is 2.

GCF(23798,23804) = 2

We will now calculate the prime factors of 23798 and 23804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23798 and 23804.

How to find the GCF of 23798 and 23804?

We will first find the prime factorization of 23798 and 23804. After we will calculate the factors of 23798 and 23804 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 23804

Prime factors of 23804 are 2, 11, 541. Prime factorization of 23804 in exponential form is:

23804 = 2² × 11¹ × 541¹

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 23804

List of positive integer factors of 23804 that divides 23798 without a remainder.

1, 2, 4, 11, 22, 44, 541, 1082, 2164, 5951, 11902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23798 and 23804. The biggest common factor number is the GCF number.
So the greatest common factor 23798 and 23804 is 2.

Also check out the Least Common Multiple of 23798 and 23804