What is the Greatest Common Factor of 52224 and 52241?

Greatest common factor (GCF) of 52224 and 52241 is 17.

GCF(52224,52241) = 17

We will now calculate the prime factors of 52224 and 52241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52224 and 52241.

How to find the GCF of 52224 and 52241?

We will first find the prime factorization of 52224 and 52241. After we will calculate the factors of 52224 and 52241 and find the biggest common factor number .

Step-1: Prime Factorization of 52224

Prime factors of 52224 are 2, 3, 17. Prime factorization of 52224 in exponential form is:

52224 = 2¹⁰ × 3¹ × 17¹

Step-2: Prime Factorization of 52241

Prime factors of 52241 are 7, 17, 439. Prime factorization of 52241 in exponential form is:

52241 = 7¹ × 17¹ × 439¹

Step-3: Factors of 52224

List of positive integer factors of 52224 that divides 52224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 256, 272, 384, 408, 512, 544, 768, 816, 1024, 1088, 1536, 1632, 2176, 3072, 3264, 4352, 6528, 8704, 13056, 17408, 26112

Step-4: Factors of 52241

List of positive integer factors of 52241 that divides 52224 without a remainder.

1, 7, 17, 119, 439, 3073, 7463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52224 and 52241. The biggest common factor number is the GCF number.
So the greatest common factor 52224 and 52241 is 17.

Also check out the Least Common Multiple of 52224 and 52241