What is the Greatest Common Factor of 1224 and 1241?

Greatest common factor (GCF) of 1224 and 1241 is 17.

GCF(1224,1241) = 17

We will now calculate the prime factors of 1224 and 1241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1224 and 1241.

How to find the GCF of 1224 and 1241?

We will first find the prime factorization of 1224 and 1241. After we will calculate the factors of 1224 and 1241 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 1241

Prime factors of 1241 are 17, 73. Prime factorization of 1241 in exponential form is:

1241 = 17¹ × 73¹

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 1241

List of positive integer factors of 1241 that divides 1224 without a remainder.

1, 17, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1224 and 1241. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1241 is 17.

Also check out the Least Common Multiple of 1224 and 1241