What is the Greatest Common Factor of 43168 and 43187?

Greatest common factor (GCF) of 43168 and 43187 is 19.

GCF(43168,43187) = 19

We will now calculate the prime factors of 43168 and 43187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43168 and 43187.

How to find the GCF of 43168 and 43187?

We will first find the prime factorization of 43168 and 43187. After we will calculate the factors of 43168 and 43187 and find the biggest common factor number .

Step-1: Prime Factorization of 43168

Prime factors of 43168 are 2, 19, 71. Prime factorization of 43168 in exponential form is:

43168 = 2⁵ × 19¹ × 71¹

Step-2: Prime Factorization of 43187

Prime factors of 43187 are 19, 2273. Prime factorization of 43187 in exponential form is:

43187 = 19¹ × 2273¹

Step-3: Factors of 43168

List of positive integer factors of 43168 that divides 43168 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 71, 76, 142, 152, 284, 304, 568, 608, 1136, 1349, 2272, 2698, 5396, 10792, 21584

Step-4: Factors of 43187

List of positive integer factors of 43187 that divides 43168 without a remainder.

1, 19, 2273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43168 and 43187. The biggest common factor number is the GCF number.
So the greatest common factor 43168 and 43187 is 19.

Also check out the Least Common Multiple of 43168 and 43187