What is the Greatest Common Factor of 52224 and 52228?

Greatest common factor (GCF) of 52224 and 52228 is 4.

GCF(52224,52228) = 4

We will now calculate the prime factors of 52224 and 52228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52224 and 52228.

How to find the GCF of 52224 and 52228?

We will first find the prime factorization of 52224 and 52228. After we will calculate the factors of 52224 and 52228 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 52228

Prime factors of 52228 are 2, 11, 1187. Prime factorization of 52228 in exponential form is:

52228 = 2² × 11¹ × 1187¹

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 52228

List of positive integer factors of 52228 that divides 52224 without a remainder.

1, 2, 4, 11, 22, 44, 1187, 2374, 4748, 13057, 26114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52224 and 52228. The biggest common factor number is the GCF number.
So the greatest common factor 52224 and 52228 is 4.

Also check out the Least Common Multiple of 52224 and 52228