What is the Greatest Common Factor of 52224 and 52236?

Greatest common factor (GCF) of 52224 and 52236 is 12.

GCF(52224,52236) = 12

We will now calculate the prime factors of 52224 and 52236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52224 and 52236.

How to find the GCF of 52224 and 52236?

We will first find the prime factorization of 52224 and 52236. After we will calculate the factors of 52224 and 52236 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 52236

Prime factors of 52236 are 2, 3, 1451. Prime factorization of 52236 in exponential form is:

52236 = 2² × 3² × 1451¹

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 52236

List of positive integer factors of 52236 that divides 52224 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1451, 2902, 4353, 5804, 8706, 13059, 17412, 26118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52224 and 52236. The biggest common factor number is the GCF number.
So the greatest common factor 52224 and 52236 is 12.

Also check out the Least Common Multiple of 52224 and 52236