What is the Greatest Common Factor of 17944 and 17958?

Greatest common factor (GCF) of 17944 and 17958 is 2.

GCF(17944,17958) = 2

We will now calculate the prime factors of 17944 and 17958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17944 and 17958.

How to find the GCF of 17944 and 17958?

We will first find the prime factorization of 17944 and 17958. After we will calculate the factors of 17944 and 17958 and find the biggest common factor number .

Step-1: Prime Factorization of 17944

Prime factors of 17944 are 2, 2243. Prime factorization of 17944 in exponential form is:

17944 = 2³ × 2243¹

Step-2: Prime Factorization of 17958

Prime factors of 17958 are 2, 3, 41, 73. Prime factorization of 17958 in exponential form is:

17958 = 2¹ × 3¹ × 41¹ × 73¹

Step-3: Factors of 17944

List of positive integer factors of 17944 that divides 17944 without a remainder.

1, 2, 4, 8, 2243, 4486, 8972

Step-4: Factors of 17958

List of positive integer factors of 17958 that divides 17944 without a remainder.

1, 2, 3, 6, 41, 73, 82, 123, 146, 219, 246, 438, 2993, 5986, 8979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17944 and 17958. The biggest common factor number is the GCF number.
So the greatest common factor 17944 and 17958 is 2.

Also check out the Least Common Multiple of 17944 and 17958