What is the Greatest Common Factor of 14490 and 14509?

Greatest common factor (GCF) of 14490 and 14509 is 1.

GCF(14490,14509) = 1

We will now calculate the prime factors of 14490 and 14509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14490 and 14509.

How to find the GCF of 14490 and 14509?

We will first find the prime factorization of 14490 and 14509. After we will calculate the factors of 14490 and 14509 and find the biggest common factor number .

Step-1: Prime Factorization of 14490

Prime factors of 14490 are 2, 3, 5, 7, 23. Prime factorization of 14490 in exponential form is:

14490 = 2¹ × 3² × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 14509

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

14509 = 11¹ × 1319¹

Step-3: Factors of 14490

List of positive integer factors of 14490 that divides 14490 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 30, 35, 42, 45, 46, 63, 69, 70, 90, 105, 115, 126, 138, 161, 207, 210, 230, 315, 322, 345, 414, 483, 630, 690, 805, 966, 1035, 1449, 1610, 2070, 2415, 2898, 4830, 7245

Step-4: Factors of 14509

List of positive integer factors of 14509 that divides 14490 without a remainder.

1, 11, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14490 and 14509. The biggest common factor number is the GCF number.
So the greatest common factor 14490 and 14509 is 1.

Also check out the Least Common Multiple of 14490 and 14509