What is the Greatest Common Factor of 52207 and 52224?

Greatest common factor (GCF) of 52207 and 52224 is 17.

GCF(52207,52224) = 17

We will now calculate the prime factors of 52207 and 52224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52207 and 52224.

How to find the GCF of 52207 and 52224?

We will first find the prime factorization of 52207 and 52224. After we will calculate the factors of 52207 and 52224 and find the biggest common factor number .

Step-1: Prime Factorization of 52207

Prime factors of 52207 are 17, 37, 83. Prime factorization of 52207 in exponential form is:

52207 = 17¹ × 37¹ × 83¹

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 52207

List of positive integer factors of 52207 that divides 52207 without a remainder.

1, 17, 37, 83, 629, 1411, 3071

Step-4: Factors of 52224

List of positive integer factors of 52224 that divides 52207 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 52207 and 52224. The biggest common factor number is the GCF number.
So the greatest common factor 52207 and 52224 is 17.

Also check out the Least Common Multiple of 52207 and 52224