What is the Greatest Common Factor of 23405 and 23416?

Greatest common factor (GCF) of 23405 and 23416 is 1.

GCF(23405,23416) = 1

We will now calculate the prime factors of 23405 and 23416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23405 and 23416.

How to find the GCF of 23405 and 23416?

We will first find the prime factorization of 23405 and 23416. After we will calculate the factors of 23405 and 23416 and find the biggest common factor number .

Step-1: Prime Factorization of 23405

Prime factors of 23405 are 5, 31, 151. Prime factorization of 23405 in exponential form is:

23405 = 5¹ × 31¹ × 151¹

Step-2: Prime Factorization of 23416

Prime factors of 23416 are 2, 2927. Prime factorization of 23416 in exponential form is:

23416 = 2³ × 2927¹

Step-3: Factors of 23405

List of positive integer factors of 23405 that divides 23405 without a remainder.

1, 5, 31, 151, 155, 755, 4681

Step-4: Factors of 23416

List of positive integer factors of 23416 that divides 23405 without a remainder.

1, 2, 4, 8, 2927, 5854, 11708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23405 and 23416. The biggest common factor number is the GCF number.
So the greatest common factor 23405 and 23416 is 1.

Also check out the Least Common Multiple of 23405 and 23416