What is the Greatest Common Factor of 23658 and 23670?

Greatest common factor (GCF) of 23658 and 23670 is 6.

GCF(23658,23670) = 6

We will now calculate the prime factors of 23658 and 23670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23658 and 23670.

How to find the GCF of 23658 and 23670?

We will first find the prime factorization of 23658 and 23670. After we will calculate the factors of 23658 and 23670 and find the biggest common factor number .

Step-1: Prime Factorization of 23658

Prime factors of 23658 are 2, 3, 3943. Prime factorization of 23658 in exponential form is:

23658 = 2¹ × 3¹ × 3943¹

Step-2: 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-3: Factors of 23658

List of positive integer factors of 23658 that divides 23658 without a remainder.

1, 2, 3, 6, 3943, 7886, 11829

Step-4: Factors of 23670

List of positive integer factors of 23670 that divides 23658 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23658 and 23670. The biggest common factor number is the GCF number.
So the greatest common factor 23658 and 23670 is 6.

Also check out the Least Common Multiple of 23658 and 23670