What is the Greatest Common Factor of 14300 and 14310?

Greatest common factor (GCF) of 14300 and 14310 is 10.

GCF(14300,14310) = 10

We will now calculate the prime factors of 14300 and 14310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14300 and 14310.

How to find the GCF of 14300 and 14310?

We will first find the prime factorization of 14300 and 14310. After we will calculate the factors of 14300 and 14310 and find the biggest common factor number .

Step-1: Prime Factorization of 14300

Prime factors of 14300 are 2, 5, 11, 13. Prime factorization of 14300 in exponential form is:

14300 = 2² × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 14310

Prime factors of 14310 are 2, 3, 5, 53. Prime factorization of 14310 in exponential form is:

14310 = 2¹ × 3³ × 5¹ × 53¹

Step-3: Factors of 14300

List of positive integer factors of 14300 that divides 14300 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65, 100, 110, 130, 143, 220, 260, 275, 286, 325, 550, 572, 650, 715, 1100, 1300, 1430, 2860, 3575, 7150

Step-4: Factors of 14310

List of positive integer factors of 14310 that divides 14300 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 90, 106, 135, 159, 265, 270, 318, 477, 530, 795, 954, 1431, 1590, 2385, 2862, 4770, 7155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14300 and 14310. The biggest common factor number is the GCF number.
So the greatest common factor 14300 and 14310 is 10.

Also check out the Least Common Multiple of 14300 and 14310