What is the Greatest Common Factor of 1218 and 1229?

Greatest common factor (GCF) of 1218 and 1229 is 1.

GCF(1218,1229) = 1

We will now calculate the prime factors of 1218 and 1229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1218 and 1229.

How to find the GCF of 1218 and 1229?

We will first find the prime factorization of 1218 and 1229. After we will calculate the factors of 1218 and 1229 and find the biggest common factor number .

Step-1: Prime Factorization of 1218

Prime factors of 1218 are 2, 3, 7, 29. Prime factorization of 1218 in exponential form is:

1218 = 2¹ × 3¹ × 7¹ × 29¹

Step-2: Prime Factorization of 1229

Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:

1229 = 1229¹

Step-3: Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609

Step-4: Factors of 1229

List of positive integer factors of 1229 that divides 1218 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1218 and 1229. The biggest common factor number is the GCF number.
So the greatest common factor 1218 and 1229 is 1.

Also check out the Least Common Multiple of 1218 and 1229