What is the Greatest Common Factor of 1224 and 1242?

Greatest common factor (GCF) of 1224 and 1242 is 18.

GCF(1224,1242) = 18

We will now calculate the prime factors of 1224 and 1242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1224 and 1242.

How to find the GCF of 1224 and 1242?

We will first find the prime factorization of 1224 and 1242. After we will calculate the factors of 1224 and 1242 and find the biggest common factor number .

Step-1: Prime Factorization of 1224

Prime factors of 1224 are 2, 3, 17. Prime factorization of 1224 in exponential form is:

1224 = 2³ × 3² × 17¹

Step-2: Prime Factorization of 1242

Prime factors of 1242 are 2, 3, 23. Prime factorization of 1242 in exponential form is:

1242 = 2¹ × 3³ × 23¹

Step-3: Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612

Step-4: Factors of 1242

List of positive integer factors of 1242 that divides 1224 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1224 and 1242. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1242 is 18.

Also check out the Least Common Multiple of 1224 and 1242