What is the Greatest Common Factor of 16757 and 16770?

Greatest common factor (GCF) of 16757 and 16770 is 13.

GCF(16757,16770) = 13

We will now calculate the prime factors of 16757 and 16770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16757 and 16770.

How to find the GCF of 16757 and 16770?

We will first find the prime factorization of 16757 and 16770. After we will calculate the factors of 16757 and 16770 and find the biggest common factor number .

Step-1: Prime Factorization of 16757

Prime factors of 16757 are 13, 1289. Prime factorization of 16757 in exponential form is:

16757 = 13¹ × 1289¹

Step-2: Prime Factorization of 16770

Prime factors of 16770 are 2, 3, 5, 13, 43. Prime factorization of 16770 in exponential form is:

16770 = 2¹ × 3¹ × 5¹ × 13¹ × 43¹

Step-3: Factors of 16757

List of positive integer factors of 16757 that divides 16757 without a remainder.

1, 13, 1289

Step-4: Factors of 16770

List of positive integer factors of 16770 that divides 16757 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 43, 65, 78, 86, 129, 130, 195, 215, 258, 390, 430, 559, 645, 1118, 1290, 1677, 2795, 3354, 5590, 8385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16757 and 16770. The biggest common factor number is the GCF number.
So the greatest common factor 16757 and 16770 is 13.

Also check out the Least Common Multiple of 16757 and 16770