What is the Greatest Common Factor of 23890 and 23910?

Greatest common factor (GCF) of 23890 and 23910 is 10.

GCF(23890,23910) = 10

We will now calculate the prime factors of 23890 and 23910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23890 and 23910.

How to find the GCF of 23890 and 23910?

We will first find the prime factorization of 23890 and 23910. After we will calculate the factors of 23890 and 23910 and find the biggest common factor number .

Step-1: Prime Factorization of 23890

Prime factors of 23890 are 2, 5, 2389. Prime factorization of 23890 in exponential form is:

23890 = 2¹ × 5¹ × 2389¹

Step-2: Prime Factorization of 23910

Prime factors of 23910 are 2, 3, 5, 797. Prime factorization of 23910 in exponential form is:

23910 = 2¹ × 3¹ × 5¹ × 797¹

Step-3: Factors of 23890

List of positive integer factors of 23890 that divides 23890 without a remainder.

1, 2, 5, 10, 2389, 4778, 11945

Step-4: Factors of 23910

List of positive integer factors of 23910 that divides 23890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 797, 1594, 2391, 3985, 4782, 7970, 11955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23890 and 23910. The biggest common factor number is the GCF number.
So the greatest common factor 23890 and 23910 is 10.

Also check out the Least Common Multiple of 23890 and 23910