What is the Greatest Common Factor of 23606 and 23620?

Greatest common factor (GCF) of 23606 and 23620 is 2.

GCF(23606,23620) = 2

We will now calculate the prime factors of 23606 and 23620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23606 and 23620.

How to find the GCF of 23606 and 23620?

We will first find the prime factorization of 23606 and 23620. After we will calculate the factors of 23606 and 23620 and find the biggest common factor number .

Step-1: Prime Factorization of 23606

Prime factors of 23606 are 2, 11, 29, 37. Prime factorization of 23606 in exponential form is:

23606 = 2¹ × 11¹ × 29¹ × 37¹

Step-2: Prime Factorization of 23620

Prime factors of 23620 are 2, 5, 1181. Prime factorization of 23620 in exponential form is:

23620 = 2² × 5¹ × 1181¹

Step-3: Factors of 23606

List of positive integer factors of 23606 that divides 23606 without a remainder.

1, 2, 11, 22, 29, 37, 58, 74, 319, 407, 638, 814, 1073, 2146, 11803

Step-4: Factors of 23620

List of positive integer factors of 23620 that divides 23606 without a remainder.

1, 2, 4, 5, 10, 20, 1181, 2362, 4724, 5905, 11810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23606 and 23620. The biggest common factor number is the GCF number.
So the greatest common factor 23606 and 23620 is 2.

Also check out the Least Common Multiple of 23606 and 23620