What is the Greatest Common Factor of 23670 and 23676?

Greatest common factor (GCF) of 23670 and 23676 is 6.

GCF(23670,23676) = 6

We will now calculate the prime factors of 23670 and 23676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23670 and 23676.

How to find the GCF of 23670 and 23676?

We will first find the prime factorization of 23670 and 23676. After we will calculate the factors of 23670 and 23676 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 23676

Prime factors of 23676 are 2, 3, 1973. Prime factorization of 23676 in exponential form is:

23676 = 2² × 3¹ × 1973¹

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 23676

List of positive integer factors of 23676 that divides 23670 without a remainder.

1, 2, 3, 4, 6, 12, 1973, 3946, 5919, 7892, 11838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23670 and 23676. The biggest common factor number is the GCF number.
So the greatest common factor 23670 and 23676 is 6.

Also check out the Least Common Multiple of 23670 and 23676