What is the Greatest Common Factor of 7194 and 7209?

Greatest common factor (GCF) of 7194 and 7209 is 3.

GCF(7194,7209) = 3

We will now calculate the prime factors of 7194 and 7209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7194 and 7209.

How to find the GCF of 7194 and 7209?

We will first find the prime factorization of 7194 and 7209. After we will calculate the factors of 7194 and 7209 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 7209

Prime factors of 7209 are 3, 89. Prime factorization of 7209 in exponential form is:

7209 = 3⁴ × 89¹

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 7209

List of positive integer factors of 7209 that divides 7194 without a remainder.

1, 3, 9, 27, 81, 89, 267, 801, 2403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7194 and 7209. The biggest common factor number is the GCF number.
So the greatest common factor 7194 and 7209 is 3.

Also check out the Least Common Multiple of 7194 and 7209