What is the Greatest Common Factor of 16770 and 16783?

Greatest common factor (GCF) of 16770 and 16783 is 13.

GCF(16770,16783) = 13

We will now calculate the prime factors of 16770 and 16783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16770 and 16783.

How to find the GCF of 16770 and 16783?

We will first find the prime factorization of 16770 and 16783. After we will calculate the factors of 16770 and 16783 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16783

Prime factors of 16783 are 13, 1291. Prime factorization of 16783 in exponential form is:

16783 = 13¹ × 1291¹

Step-3: Factors of 16770

List of positive integer factors of 16770 that divides 16770 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

Step-4: Factors of 16783

List of positive integer factors of 16783 that divides 16770 without a remainder.

1, 13, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16770 and 16783. The biggest common factor number is the GCF number.
So the greatest common factor 16770 and 16783 is 13.

Also check out the Least Common Multiple of 16770 and 16783