What is the Greatest Common Factor of 23670 and 23681?

Greatest common factor (GCF) of 23670 and 23681 is 1.

GCF(23670,23681) = 1

We will now calculate the prime factors of 23670 and 23681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23670 and 23681.

How to find the GCF of 23670 and 23681?

We will first find the prime factorization of 23670 and 23681. After we will calculate the factors of 23670 and 23681 and find the biggest common factor number .

Step-1: Prime Factorization of 23670

Prime factors of 23670 are 2, 3, 5, 263. Prime factorization of 23670 in exponential form is:

23670 = 2¹ × 3² × 5¹ × 263¹

Step-2: Prime Factorization of 23681

Prime factors of 23681 are 7, 17, 199. Prime factorization of 23681 in exponential form is:

23681 = 7¹ × 17¹ × 199¹

Step-3: Factors of 23670

List of positive integer factors of 23670 that divides 23670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 263, 526, 789, 1315, 1578, 2367, 2630, 3945, 4734, 7890, 11835

Step-4: Factors of 23681

List of positive integer factors of 23681 that divides 23670 without a remainder.

1, 7, 17, 119, 199, 1393, 3383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23670 and 23681. The biggest common factor number is the GCF number.
So the greatest common factor 23670 and 23681 is 1.

Also check out the Least Common Multiple of 23670 and 23681