What is the Greatest Common Factor of 23696 and 23701?

Greatest common factor (GCF) of 23696 and 23701 is 1.

GCF(23696,23701) = 1

We will now calculate the prime factors of 23696 and 23701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23696 and 23701.

How to find the GCF of 23696 and 23701?

We will first find the prime factorization of 23696 and 23701. After we will calculate the factors of 23696 and 23701 and find the biggest common factor number .

Step-1: Prime Factorization of 23696

Prime factors of 23696 are 2, 1481. Prime factorization of 23696 in exponential form is:

23696 = 2⁴ × 1481¹

Step-2: Prime Factorization of 23701

Prime factors of 23701 are 137, 173. Prime factorization of 23701 in exponential form is:

23701 = 137¹ × 173¹

Step-3: Factors of 23696

List of positive integer factors of 23696 that divides 23696 without a remainder.

1, 2, 4, 8, 16, 1481, 2962, 5924, 11848

Step-4: Factors of 23701

List of positive integer factors of 23701 that divides 23696 without a remainder.

1, 137, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23696 and 23701. The biggest common factor number is the GCF number.
So the greatest common factor 23696 and 23701 is 1.

Also check out the Least Common Multiple of 23696 and 23701