What is the Greatest Common Factor of 17878 and 17898?

Greatest common factor (GCF) of 17878 and 17898 is 2.

GCF(17878,17898) = 2

We will now calculate the prime factors of 17878 and 17898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17878 and 17898.

How to find the GCF of 17878 and 17898?

We will first find the prime factorization of 17878 and 17898. After we will calculate the factors of 17878 and 17898 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 17898

Prime factors of 17898 are 2, 3, 19, 157. Prime factorization of 17898 in exponential form is:

17898 = 2¹ × 3¹ × 19¹ × 157¹

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 17898

List of positive integer factors of 17898 that divides 17878 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 157, 314, 471, 942, 2983, 5966, 8949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17878 and 17898. The biggest common factor number is the GCF number.
So the greatest common factor 17878 and 17898 is 2.

Also check out the Least Common Multiple of 17878 and 17898