What is the Greatest Common Factor of 7194 and 7207?

Greatest common factor (GCF) of 7194 and 7207 is 1.

GCF(7194,7207) = 1

We will now calculate the prime factors of 7194 and 7207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7194 and 7207.

How to find the GCF of 7194 and 7207?

We will first find the prime factorization of 7194 and 7207. After we will calculate the factors of 7194 and 7207 and find the biggest common factor number .

Step-1: Prime Factorization of 7194

Prime factors of 7194 are 2, 3, 11, 109. Prime factorization of 7194 in exponential form is:

7194 = 2¹ × 3¹ × 11¹ × 109¹

Step-2: Prime Factorization of 7207

Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:

7207 = 7207¹

Step-3: Factors of 7194

List of positive integer factors of 7194 that divides 7194 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597

Step-4: Factors of 7207

List of positive integer factors of 7207 that divides 7194 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7194 and 7207. The biggest common factor number is the GCF number.
So the greatest common factor 7194 and 7207 is 1.

Also check out the Least Common Multiple of 7194 and 7207