What is the Greatest Common Factor of 52208 and 52224?

Greatest common factor (GCF) of 52208 and 52224 is 16.

GCF(52208,52224) = 16

We will now calculate the prime factors of 52208 and 52224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52208 and 52224.

How to find the GCF of 52208 and 52224?

We will first find the prime factorization of 52208 and 52224. After we will calculate the factors of 52208 and 52224 and find the biggest common factor number .

Step-1: Prime Factorization of 52208

Prime factors of 52208 are 2, 13, 251. Prime factorization of 52208 in exponential form is:

52208 = 2⁴ × 13¹ × 251¹

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 52208

List of positive integer factors of 52208 that divides 52208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 251, 502, 1004, 2008, 3263, 4016, 6526, 13052, 26104

Step-4: Factors of 52224

List of positive integer factors of 52224 that divides 52208 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 52208 and 52224. The biggest common factor number is the GCF number.
So the greatest common factor 52208 and 52224 is 16.

Also check out the Least Common Multiple of 52208 and 52224