What is the Greatest Common Factor of 14509 and 14520?

Greatest common factor (GCF) of 14509 and 14520 is 11.

GCF(14509,14520) = 11

We will now calculate the prime factors of 14509 and 14520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14509 and 14520.

How to find the GCF of 14509 and 14520?

We will first find the prime factorization of 14509 and 14520. After we will calculate the factors of 14509 and 14520 and find the biggest common factor number .

Step-1: Prime Factorization of 14509

Prime factors of 14509 are 11, 1319. Prime factorization of 14509 in exponential form is:

14509 = 11¹ × 1319¹

Step-2: Prime Factorization of 14520

Prime factors of 14520 are 2, 3, 5, 11. Prime factorization of 14520 in exponential form is:

14520 = 2³ × 3¹ × 5¹ × 11²

Step-3: Factors of 14509

List of positive integer factors of 14509 that divides 14509 without a remainder.

1, 11, 1319

Step-4: Factors of 14520

List of positive integer factors of 14520 that divides 14509 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 121, 132, 165, 220, 242, 264, 330, 363, 440, 484, 605, 660, 726, 968, 1210, 1320, 1452, 1815, 2420, 2904, 3630, 4840, 7260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14509 and 14520. The biggest common factor number is the GCF number.
So the greatest common factor 14509 and 14520 is 11.

Also check out the Least Common Multiple of 14509 and 14520