What is the Greatest Common Factor of 23376 and 23387?

Greatest common factor (GCF) of 23376 and 23387 is 1.

GCF(23376,23387) = 1

We will now calculate the prime factors of 23376 and 23387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23376 and 23387.

How to find the GCF of 23376 and 23387?

We will first find the prime factorization of 23376 and 23387. After we will calculate the factors of 23376 and 23387 and find the biggest common factor number .

Step-1: Prime Factorization of 23376

Prime factors of 23376 are 2, 3, 487. Prime factorization of 23376 in exponential form is:

23376 = 2⁴ × 3¹ × 487¹

Step-2: Prime Factorization of 23387

Prime factors of 23387 are 7, 13, 257. Prime factorization of 23387 in exponential form is:

23387 = 7¹ × 13¹ × 257¹

Step-3: Factors of 23376

List of positive integer factors of 23376 that divides 23376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688

Step-4: Factors of 23387

List of positive integer factors of 23387 that divides 23376 without a remainder.

1, 7, 13, 91, 257, 1799, 3341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23376 and 23387. The biggest common factor number is the GCF number.
So the greatest common factor 23376 and 23387 is 1.

Also check out the Least Common Multiple of 23376 and 23387