What is the Greatest Common Factor of 16947 and 16954?

Greatest common factor (GCF) of 16947 and 16954 is 7.

GCF(16947,16954) = 7

We will now calculate the prime factors of 16947 and 16954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16947 and 16954.

How to find the GCF of 16947 and 16954?

We will first find the prime factorization of 16947 and 16954. After we will calculate the factors of 16947 and 16954 and find the biggest common factor number .

Step-1: Prime Factorization of 16947

Prime factors of 16947 are 3, 7, 269. Prime factorization of 16947 in exponential form is:

16947 = 3² × 7¹ × 269¹

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 16947

List of positive integer factors of 16947 that divides 16947 without a remainder.

1, 3, 7, 9, 21, 63, 269, 807, 1883, 2421, 5649

Step-4: Factors of 16954

List of positive integer factors of 16954 that divides 16947 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 16947 and 16954. The biggest common factor number is the GCF number.
So the greatest common factor 16947 and 16954 is 7.

Also check out the Least Common Multiple of 16947 and 16954