What is the Greatest Common Factor of 43149 and 43167?

Greatest common factor (GCF) of 43149 and 43167 is 3.

GCF(43149,43167) = 3

We will now calculate the prime factors of 43149 and 43167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43149 and 43167.

How to find the GCF of 43149 and 43167?

We will first find the prime factorization of 43149 and 43167. After we will calculate the factors of 43149 and 43167 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 43167

Prime factors of 43167 are 3, 14389. Prime factorization of 43167 in exponential form is:

43167 = 3¹ × 14389¹

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 43167

List of positive integer factors of 43167 that divides 43149 without a remainder.

1, 3, 14389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43149 and 43167. The biggest common factor number is the GCF number.
So the greatest common factor 43149 and 43167 is 3.

Also check out the Least Common Multiple of 43149 and 43167