What is the Greatest Common Factor of 4176 and 4189?

Greatest common factor (GCF) of 4176 and 4189 is 1.

GCF(4176,4189) = 1

We will now calculate the prime factors of 4176 and 4189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4176 and 4189.

How to find the GCF of 4176 and 4189?

We will first find the prime factorization of 4176 and 4189. After we will calculate the factors of 4176 and 4189 and find the biggest common factor number .

Step-1: Prime Factorization of 4176

Prime factors of 4176 are 2, 3, 29. Prime factorization of 4176 in exponential form is:

4176 = 2⁴ × 3² × 29¹

Step-2: Prime Factorization of 4189

Prime factors of 4189 are 59, 71. Prime factorization of 4189 in exponential form is:

4189 = 59¹ × 71¹

Step-3: Factors of 4176

List of positive integer factors of 4176 that divides 4176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088

Step-4: Factors of 4189

List of positive integer factors of 4189 that divides 4176 without a remainder.

1, 59, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4176 and 4189. The biggest common factor number is the GCF number.
So the greatest common factor 4176 and 4189 is 1.

Also check out the Least Common Multiple of 4176 and 4189