What is the Greatest Common Factor of 23374 and 23383?

Greatest common factor (GCF) of 23374 and 23383 is 1.

GCF(23374,23383) = 1

We will now calculate the prime factors of 23374 and 23383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23374 and 23383.

How to find the GCF of 23374 and 23383?

We will first find the prime factorization of 23374 and 23383. After we will calculate the factors of 23374 and 23383 and find the biggest common factor number .

Step-1: Prime Factorization of 23374

Prime factors of 23374 are 2, 13, 29, 31. Prime factorization of 23374 in exponential form is:

23374 = 2¹ × 13¹ × 29¹ × 31¹

Step-2: Prime Factorization of 23383

Prime factors of 23383 are 67, 349. Prime factorization of 23383 in exponential form is:

23383 = 67¹ × 349¹

Step-3: Factors of 23374

List of positive integer factors of 23374 that divides 23374 without a remainder.

1, 2, 13, 26, 29, 31, 58, 62, 377, 403, 754, 806, 899, 1798, 11687

Step-4: Factors of 23383

List of positive integer factors of 23383 that divides 23374 without a remainder.

1, 67, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23374 and 23383. The biggest common factor number is the GCF number.
So the greatest common factor 23374 and 23383 is 1.

Also check out the Least Common Multiple of 23374 and 23383