What is the Greatest Common Factor of 23870 and 23886?

Greatest common factor (GCF) of 23870 and 23886 is 2.

GCF(23870,23886) = 2

We will now calculate the prime factors of 23870 and 23886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23870 and 23886.

How to find the GCF of 23870 and 23886?

We will first find the prime factorization of 23870 and 23886. After we will calculate the factors of 23870 and 23886 and find the biggest common factor number .

Step-1: Prime Factorization of 23870

Prime factors of 23870 are 2, 5, 7, 11, 31. Prime factorization of 23870 in exponential form is:

23870 = 2¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 23886

Prime factors of 23886 are 2, 3, 1327. Prime factorization of 23886 in exponential form is:

23886 = 2¹ × 3² × 1327¹

Step-3: Factors of 23870

List of positive integer factors of 23870 that divides 23870 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 31, 35, 55, 62, 70, 77, 110, 154, 155, 217, 310, 341, 385, 434, 682, 770, 1085, 1705, 2170, 2387, 3410, 4774, 11935

Step-4: Factors of 23886

List of positive integer factors of 23886 that divides 23870 without a remainder.

1, 2, 3, 6, 9, 18, 1327, 2654, 3981, 7962, 11943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23870 and 23886. The biggest common factor number is the GCF number.
So the greatest common factor 23870 and 23886 is 2.

Also check out the Least Common Multiple of 23870 and 23886