What is the Greatest Common Factor of 52204 and 52224?

Greatest common factor (GCF) of 52204 and 52224 is 4.

GCF(52204,52224) = 4

We will now calculate the prime factors of 52204 and 52224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52204 and 52224.

How to find the GCF of 52204 and 52224?

We will first find the prime factorization of 52204 and 52224. After we will calculate the factors of 52204 and 52224 and find the biggest common factor number .

Step-1: Prime Factorization of 52204

Prime factors of 52204 are 2, 31, 421. Prime factorization of 52204 in exponential form is:

52204 = 2² × 31¹ × 421¹

Step-2: 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-3: Factors of 52204

List of positive integer factors of 52204 that divides 52204 without a remainder.

1, 2, 4, 31, 62, 124, 421, 842, 1684, 13051, 26102

Step-4: Factors of 52224

List of positive integer factors of 52224 that divides 52204 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52204 and 52224. The biggest common factor number is the GCF number.
So the greatest common factor 52204 and 52224 is 4.

Also check out the Least Common Multiple of 52204 and 52224