What is the Greatest Common Factor of 43149 and 43168?

Greatest common factor (GCF) of 43149 and 43168 is 19.

GCF(43149,43168) = 19

We will now calculate the prime factors of 43149 and 43168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43149 and 43168.

How to find the GCF of 43149 and 43168?

We will first find the prime factorization of 43149 and 43168. After we will calculate the factors of 43149 and 43168 and find the biggest common factor number .

Step-1: Prime Factorization of 43149

Prime factors of 43149 are 3, 19, 757. Prime factorization of 43149 in exponential form is:

43149 = 3¹ × 19¹ × 757¹

Step-2: 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-3: Factors of 43149

List of positive integer factors of 43149 that divides 43149 without a remainder.

1, 3, 19, 57, 757, 2271, 14383

Step-4: Factors of 43168

List of positive integer factors of 43168 that divides 43149 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43149 and 43168. The biggest common factor number is the GCF number.
So the greatest common factor 43149 and 43168 is 19.

Also check out the Least Common Multiple of 43149 and 43168