What is the Greatest Common Factor of 17958 and 17962?

Greatest common factor (GCF) of 17958 and 17962 is 2.

GCF(17958,17962) = 2

We will now calculate the prime factors of 17958 and 17962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17958 and 17962.

How to find the GCF of 17958 and 17962?

We will first find the prime factorization of 17958 and 17962. After we will calculate the factors of 17958 and 17962 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17962

Prime factors of 17962 are 2, 7, 1283. Prime factorization of 17962 in exponential form is:

17962 = 2¹ × 7¹ × 1283¹

Step-3: Factors of 17958

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

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

Step-4: Factors of 17962

List of positive integer factors of 17962 that divides 17958 without a remainder.

1, 2, 7, 14, 1283, 2566, 8981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17958 and 17962. The biggest common factor number is the GCF number.
So the greatest common factor 17958 and 17962 is 2.

Also check out the Least Common Multiple of 17958 and 17962