What is the Greatest Common Factor of 7191 and 7198?

Greatest common factor (GCF) of 7191 and 7198 is 1.

GCF(7191,7198) = 1

We will now calculate the prime factors of 7191 and 7198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7191 and 7198.

How to find the GCF of 7191 and 7198?

We will first find the prime factorization of 7191 and 7198. After we will calculate the factors of 7191 and 7198 and find the biggest common factor number .

Step-1: Prime Factorization of 7191

Prime factors of 7191 are 3, 17, 47. Prime factorization of 7191 in exponential form is:

7191 = 3² × 17¹ × 47¹

Step-2: Prime Factorization of 7198

Prime factors of 7198 are 2, 59, 61. Prime factorization of 7198 in exponential form is:

7198 = 2¹ × 59¹ × 61¹

Step-3: Factors of 7191

List of positive integer factors of 7191 that divides 7191 without a remainder.

1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397

Step-4: Factors of 7198

List of positive integer factors of 7198 that divides 7191 without a remainder.

1, 2, 59, 61, 118, 122, 3599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7191 and 7198. The biggest common factor number is the GCF number.
So the greatest common factor 7191 and 7198 is 1.

Also check out the Least Common Multiple of 7191 and 7198