What is the Greatest Common Factor of 7188 and 7205?

Greatest common factor (GCF) of 7188 and 7205 is 1.

GCF(7188,7205) = 1

We will now calculate the prime factors of 7188 and 7205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7188 and 7205.

How to find the GCF of 7188 and 7205?

We will first find the prime factorization of 7188 and 7205. After we will calculate the factors of 7188 and 7205 and find the biggest common factor number .

Step-1: Prime Factorization of 7188

Prime factors of 7188 are 2, 3, 599. Prime factorization of 7188 in exponential form is:

7188 = 2² × 3¹ × 599¹

Step-2: Prime Factorization of 7205

Prime factors of 7205 are 5, 11, 131. Prime factorization of 7205 in exponential form is:

7205 = 5¹ × 11¹ × 131¹

Step-3: Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594

Step-4: Factors of 7205

List of positive integer factors of 7205 that divides 7188 without a remainder.

1, 5, 11, 55, 131, 655, 1441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7188 and 7205. The biggest common factor number is the GCF number.
So the greatest common factor 7188 and 7205 is 1.

Also check out the Least Common Multiple of 7188 and 7205