What is the Greatest Common Factor of 23710 and 23730?

Greatest common factor (GCF) of 23710 and 23730 is 10.

GCF(23710,23730) = 10

We will now calculate the prime factors of 23710 and 23730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23710 and 23730.

How to find the GCF of 23710 and 23730?

We will first find the prime factorization of 23710 and 23730. After we will calculate the factors of 23710 and 23730 and find the biggest common factor number .

Step-1: Prime Factorization of 23710

Prime factors of 23710 are 2, 5, 2371. Prime factorization of 23710 in exponential form is:

23710 = 2¹ × 5¹ × 2371¹

Step-2: Prime Factorization of 23730

Prime factors of 23730 are 2, 3, 5, 7, 113. Prime factorization of 23730 in exponential form is:

23730 = 2¹ × 3¹ × 5¹ × 7¹ × 113¹

Step-3: Factors of 23710

List of positive integer factors of 23710 that divides 23710 without a remainder.

1, 2, 5, 10, 2371, 4742, 11855

Step-4: Factors of 23730

List of positive integer factors of 23730 that divides 23710 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 113, 210, 226, 339, 565, 678, 791, 1130, 1582, 1695, 2373, 3390, 3955, 4746, 7910, 11865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23710 and 23730. The biggest common factor number is the GCF number.
So the greatest common factor 23710 and 23730 is 10.

Also check out the Least Common Multiple of 23710 and 23730