What is the Greatest Common Factor of 14490 and 14497?

Greatest common factor (GCF) of 14490 and 14497 is 7.

GCF(14490,14497) = 7

We will now calculate the prime factors of 14490 and 14497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14490 and 14497.

How to find the GCF of 14490 and 14497?

We will first find the prime factorization of 14490 and 14497. After we will calculate the factors of 14490 and 14497 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 14497

Prime factors of 14497 are 7, 19, 109. Prime factorization of 14497 in exponential form is:

14497 = 7¹ × 19¹ × 109¹

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 14497

List of positive integer factors of 14497 that divides 14490 without a remainder.

1, 7, 19, 109, 133, 763, 2071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14490 and 14497. The biggest common factor number is the GCF number.
So the greatest common factor 14490 and 14497 is 7.

Also check out the Least Common Multiple of 14490 and 14497