What is the Greatest Common Factor of 16937 and 16954?

Greatest common factor (GCF) of 16937 and 16954 is 1.

GCF(16937,16954) = 1

We will now calculate the prime factors of 16937 and 16954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16937 and 16954.

How to find the GCF of 16937 and 16954?

We will first find the prime factorization of 16937 and 16954. After we will calculate the factors of 16937 and 16954 and find the biggest common factor number .

Step-1: Prime Factorization of 16937

Prime factors of 16937 are 16937. Prime factorization of 16937 in exponential form is:

16937 = 16937¹

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 16937

List of positive integer factors of 16937 that divides 16937 without a remainder.

Step-4: Factors of 16954

List of positive integer factors of 16954 that divides 16937 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 16937 and 16954. The biggest common factor number is the GCF number.
So the greatest common factor 16937 and 16954 is 1.

Also check out the Least Common Multiple of 16937 and 16954