What is the Greatest Common Factor of 1204 and 1209?

Greatest common factor (GCF) of 1204 and 1209 is 1.

GCF(1204,1209) = 1

We will now calculate the prime factors of 1204 and 1209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1204 and 1209.

How to find the GCF of 1204 and 1209?

We will first find the prime factorization of 1204 and 1209. After we will calculate the factors of 1204 and 1209 and find the biggest common factor number .

Step-1: Prime Factorization of 1204

Prime factors of 1204 are 2, 7, 43. Prime factorization of 1204 in exponential form is:

1204 = 2² × 7¹ × 43¹

Step-2: Prime Factorization of 1209

Prime factors of 1209 are 3, 13, 31. Prime factorization of 1209 in exponential form is:

1209 = 3¹ × 13¹ × 31¹

Step-3: Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602

Step-4: Factors of 1209

List of positive integer factors of 1209 that divides 1204 without a remainder.

1, 3, 13, 31, 39, 93, 403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1204 and 1209. The biggest common factor number is the GCF number.
So the greatest common factor 1204 and 1209 is 1.

Also check out the Least Common Multiple of 1204 and 1209