What is the Greatest Common Factor of 16945 and 16950?

Greatest common factor (GCF) of 16945 and 16950 is 5.

GCF(16945,16950) = 5

We will now calculate the prime factors of 16945 and 16950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16945 and 16950.

How to find the GCF of 16945 and 16950?

We will first find the prime factorization of 16945 and 16950. After we will calculate the factors of 16945 and 16950 and find the biggest common factor number .

Step-1: Prime Factorization of 16945

Prime factors of 16945 are 5, 3389. Prime factorization of 16945 in exponential form is:

16945 = 5¹ × 3389¹

Step-2: Prime Factorization of 16950

Prime factors of 16950 are 2, 3, 5, 113. Prime factorization of 16950 in exponential form is:

16950 = 2¹ × 3¹ × 5² × 113¹

Step-3: Factors of 16945

List of positive integer factors of 16945 that divides 16945 without a remainder.

1, 5, 3389

Step-4: Factors of 16950

List of positive integer factors of 16950 that divides 16945 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 113, 150, 226, 339, 565, 678, 1130, 1695, 2825, 3390, 5650, 8475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16945 and 16950. The biggest common factor number is the GCF number.
So the greatest common factor 16945 and 16950 is 5.

Also check out the Least Common Multiple of 16945 and 16950