What is the Greatest Common Factor of 16954 and 16972?

Greatest common factor (GCF) of 16954 and 16972 is 2.

GCF(16954,16972) = 2

We will now calculate the prime factors of 16954 and 16972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16954 and 16972.

How to find the GCF of 16954 and 16972?

We will first find the prime factorization of 16954 and 16972. After we will calculate the factors of 16954 and 16972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16972

Prime factors of 16972 are 2, 4243. Prime factorization of 16972 in exponential form is:

16972 = 2² × 4243¹

Step-3: Factors of 16954

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

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

Step-4: Factors of 16972

List of positive integer factors of 16972 that divides 16954 without a remainder.

1, 2, 4, 4243, 8486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16954 and 16972. The biggest common factor number is the GCF number.
So the greatest common factor 16954 and 16972 is 2.

Also check out the Least Common Multiple of 16954 and 16972