What is the Greatest Common Factor of 16940 and 16954?

Greatest common factor (GCF) of 16940 and 16954 is 14.

GCF(16940,16954) = 14

We will now calculate the prime factors of 16940 and 16954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16940 and 16954.

How to find the GCF of 16940 and 16954?

We will first find the prime factorization of 16940 and 16954. After we will calculate the factors of 16940 and 16954 and find the biggest common factor number .

Step-1: Prime Factorization of 16940

Prime factors of 16940 are 2, 5, 7, 11. Prime factorization of 16940 in exponential form is:

16940 = 2² × 5¹ × 7¹ × 11²

Step-2: Prime Factorization of 16954

Prime factors of 16954 are 2, 7, 173. Prime factorization of 16954 in exponential form is:

16954 = 2¹ × 7² × 173¹

Step-3: Factors of 16940

List of positive integer factors of 16940 that divides 16940 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 121, 140, 154, 220, 242, 308, 385, 484, 605, 770, 847, 1210, 1540, 1694, 2420, 3388, 4235, 8470

Step-4: Factors of 16954

List of positive integer factors of 16954 that divides 16940 without a remainder.

1, 2, 7, 14, 49, 98, 173, 346, 1211, 2422, 8477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16940 and 16954. The biggest common factor number is the GCF number.
So the greatest common factor 16940 and 16954 is 14.

Also check out the Least Common Multiple of 16940 and 16954