What is the Greatest Common Factor of 17878 and 17896?

Greatest common factor (GCF) of 17878 and 17896 is 2.

GCF(17878,17896) = 2

We will now calculate the prime factors of 17878 and 17896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17878 and 17896.

How to find the GCF of 17878 and 17896?

We will first find the prime factorization of 17878 and 17896. After we will calculate the factors of 17878 and 17896 and find the biggest common factor number .

Step-1: Prime Factorization of 17878

Prime factors of 17878 are 2, 7, 1277. Prime factorization of 17878 in exponential form is:

17878 = 2¹ × 7¹ × 1277¹

Step-2: Prime Factorization of 17896

Prime factors of 17896 are 2, 2237. Prime factorization of 17896 in exponential form is:

17896 = 2³ × 2237¹

Step-3: Factors of 17878

List of positive integer factors of 17878 that divides 17878 without a remainder.

1, 2, 7, 14, 1277, 2554, 8939

Step-4: Factors of 17896

List of positive integer factors of 17896 that divides 17878 without a remainder.

1, 2, 4, 8, 2237, 4474, 8948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17878 and 17896. The biggest common factor number is the GCF number.
So the greatest common factor 17878 and 17896 is 2.

Also check out the Least Common Multiple of 17878 and 17896