What is the Greatest Common Factor of 14637 and 14654?

Greatest common factor (GCF) of 14637 and 14654 is 17.

GCF(14637,14654) = 17

We will now calculate the prime factors of 14637 and 14654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14637 and 14654.

How to find the GCF of 14637 and 14654?

We will first find the prime factorization of 14637 and 14654. After we will calculate the factors of 14637 and 14654 and find the biggest common factor number .

Step-1: Prime Factorization of 14637

Prime factors of 14637 are 3, 7, 17, 41. Prime factorization of 14637 in exponential form is:

14637 = 3¹ × 7¹ × 17¹ × 41¹

Step-2: Prime Factorization of 14654

Prime factors of 14654 are 2, 17, 431. Prime factorization of 14654 in exponential form is:

14654 = 2¹ × 17¹ × 431¹

Step-3: Factors of 14637

List of positive integer factors of 14637 that divides 14637 without a remainder.

1, 3, 7, 17, 21, 41, 51, 119, 123, 287, 357, 697, 861, 2091, 4879

Step-4: Factors of 14654

List of positive integer factors of 14654 that divides 14637 without a remainder.

1, 2, 17, 34, 431, 862, 7327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14637 and 14654. The biggest common factor number is the GCF number.
So the greatest common factor 14637 and 14654 is 17.

Also check out the Least Common Multiple of 14637 and 14654