What is the Greatest Common Factor of 23396 and 23402?

Greatest common factor (GCF) of 23396 and 23402 is 2.

GCF(23396,23402) = 2

We will now calculate the prime factors of 23396 and 23402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23396 and 23402.

How to find the GCF of 23396 and 23402?

We will first find the prime factorization of 23396 and 23402. After we will calculate the factors of 23396 and 23402 and find the biggest common factor number .

Step-1: Prime Factorization of 23396

Prime factors of 23396 are 2, 5849. Prime factorization of 23396 in exponential form is:

23396 = 2² × 5849¹

Step-2: Prime Factorization of 23402

Prime factors of 23402 are 2, 11701. Prime factorization of 23402 in exponential form is:

23402 = 2¹ × 11701¹

Step-3: Factors of 23396

List of positive integer factors of 23396 that divides 23396 without a remainder.

1, 2, 4, 5849, 11698

Step-4: Factors of 23402

List of positive integer factors of 23402 that divides 23396 without a remainder.

1, 2, 11701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23396 and 23402. The biggest common factor number is the GCF number.
So the greatest common factor 23396 and 23402 is 2.

Also check out the Least Common Multiple of 23396 and 23402