What is the Greatest Common Factor of 23000 and 23010?

Greatest common factor (GCF) of 23000 and 23010 is 10.

GCF(23000,23010) = 10

We will now calculate the prime factors of 23000 and 23010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23000 and 23010.

How to find the GCF of 23000 and 23010?

We will first find the prime factorization of 23000 and 23010. After we will calculate the factors of 23000 and 23010 and find the biggest common factor number .

Step-1: Prime Factorization of 23000

Prime factors of 23000 are 2, 5, 23. Prime factorization of 23000 in exponential form is:

23000 = 2³ × 5³ × 23¹

Step-2: Prime Factorization of 23010

Prime factors of 23010 are 2, 3, 5, 13, 59. Prime factorization of 23010 in exponential form is:

23010 = 2¹ × 3¹ × 5¹ × 13¹ × 59¹

Step-3: Factors of 23000

List of positive integer factors of 23000 that divides 23000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 125, 184, 200, 230, 250, 460, 500, 575, 920, 1000, 1150, 2300, 2875, 4600, 5750, 11500

Step-4: Factors of 23010

List of positive integer factors of 23010 that divides 23000 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 59, 65, 78, 118, 130, 177, 195, 295, 354, 390, 590, 767, 885, 1534, 1770, 2301, 3835, 4602, 7670, 11505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23000 and 23010. The biggest common factor number is the GCF number.
So the greatest common factor 23000 and 23010 is 10.

Also check out the Least Common Multiple of 23000 and 23010