What is the Greatest Common Factor of 16925 and 16944?

Greatest common factor (GCF) of 16925 and 16944 is 1.

GCF(16925,16944) = 1

We will now calculate the prime factors of 16925 and 16944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16925 and 16944.

How to find the GCF of 16925 and 16944?

We will first find the prime factorization of 16925 and 16944. After we will calculate the factors of 16925 and 16944 and find the biggest common factor number .

Step-1: Prime Factorization of 16925

Prime factors of 16925 are 5, 677. Prime factorization of 16925 in exponential form is:

16925 = 5² × 677¹

Step-2: Prime Factorization of 16944

Prime factors of 16944 are 2, 3, 353. Prime factorization of 16944 in exponential form is:

16944 = 2⁴ × 3¹ × 353¹

Step-3: Factors of 16925

List of positive integer factors of 16925 that divides 16925 without a remainder.

1, 5, 25, 677, 3385

Step-4: Factors of 16944

List of positive integer factors of 16944 that divides 16925 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16925 and 16944. The biggest common factor number is the GCF number.
So the greatest common factor 16925 and 16944 is 1.

Also check out the Least Common Multiple of 16925 and 16944