What is the Greatest Common Factor of 14756 and 14773?

Greatest common factor (GCF) of 14756 and 14773 is 17.

GCF(14756,14773) = 17

We will now calculate the prime factors of 14756 and 14773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14756 and 14773.

How to find the GCF of 14756 and 14773?

We will first find the prime factorization of 14756 and 14773. After we will calculate the factors of 14756 and 14773 and find the biggest common factor number .

Step-1: Prime Factorization of 14756

Prime factors of 14756 are 2, 7, 17, 31. Prime factorization of 14756 in exponential form is:

14756 = 2² × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 14773

Prime factors of 14773 are 11, 17, 79. Prime factorization of 14773 in exponential form is:

14773 = 11¹ × 17¹ × 79¹

Step-3: Factors of 14756

List of positive integer factors of 14756 that divides 14756 without a remainder.

1, 2, 4, 7, 14, 17, 28, 31, 34, 62, 68, 119, 124, 217, 238, 434, 476, 527, 868, 1054, 2108, 3689, 7378

Step-4: Factors of 14773

List of positive integer factors of 14773 that divides 14756 without a remainder.

1, 11, 17, 79, 187, 869, 1343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14756 and 14773. The biggest common factor number is the GCF number.
So the greatest common factor 14756 and 14773 is 17.

Also check out the Least Common Multiple of 14756 and 14773