What is the Greatest Common Factor of 4189 and 4198?

Greatest common factor (GCF) of 4189 and 4198 is 1.

GCF(4189,4198) = 1

We will now calculate the prime factors of 4189 and 4198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4189 and 4198.

How to find the GCF of 4189 and 4198?

We will first find the prime factorization of 4189 and 4198. After we will calculate the factors of 4189 and 4198 and find the biggest common factor number .

Step-1: Prime Factorization of 4189

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

4189 = 59¹ × 71¹

Step-2: Prime Factorization of 4198

Prime factors of 4198 are 2, 2099. Prime factorization of 4198 in exponential form is:

4198 = 2¹ × 2099¹

Step-3: Factors of 4189

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

1, 59, 71

Step-4: Factors of 4198

List of positive integer factors of 4198 that divides 4189 without a remainder.

1, 2, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4189 and 4198. The biggest common factor number is the GCF number.
So the greatest common factor 4189 and 4198 is 1.

Also check out the Least Common Multiple of 4189 and 4198