What is the Greatest Common Factor of 14500 and 14510?

Greatest common factor (GCF) of 14500 and 14510 is 10.

GCF(14500,14510) = 10

We will now calculate the prime factors of 14500 and 14510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14500 and 14510.

How to find the GCF of 14500 and 14510?

We will first find the prime factorization of 14500 and 14510. After we will calculate the factors of 14500 and 14510 and find the biggest common factor number .

Step-1: Prime Factorization of 14500

Prime factors of 14500 are 2, 5, 29. Prime factorization of 14500 in exponential form is:

14500 = 2² × 5³ × 29¹

Step-2: Prime Factorization of 14510

Prime factors of 14510 are 2, 5, 1451. Prime factorization of 14510 in exponential form is:

14510 = 2¹ × 5¹ × 1451¹

Step-3: Factors of 14500

List of positive integer factors of 14500 that divides 14500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 125, 145, 250, 290, 500, 580, 725, 1450, 2900, 3625, 7250

Step-4: Factors of 14510

List of positive integer factors of 14510 that divides 14500 without a remainder.

1, 2, 5, 10, 1451, 2902, 7255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14500 and 14510. The biggest common factor number is the GCF number.
So the greatest common factor 14500 and 14510 is 10.

Also check out the Least Common Multiple of 14500 and 14510