What is the Greatest Common Factor of 14300 and 14305?

Greatest common factor (GCF) of 14300 and 14305 is 5.

GCF(14300,14305) = 5

We will now calculate the prime factors of 14300 and 14305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14300 and 14305.

How to find the GCF of 14300 and 14305?

We will first find the prime factorization of 14300 and 14305. After we will calculate the factors of 14300 and 14305 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 14305

Prime factors of 14305 are 5, 2861. Prime factorization of 14305 in exponential form is:

14305 = 5¹ × 2861¹

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 14305

List of positive integer factors of 14305 that divides 14300 without a remainder.

1, 5, 2861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14300 and 14305. The biggest common factor number is the GCF number.
So the greatest common factor 14300 and 14305 is 5.

Also check out the Least Common Multiple of 14300 and 14305