What is the Greatest Common Factor of 52407 and 52416?

Greatest common factor (GCF) of 52407 and 52416 is 9.

GCF(52407,52416) = 9

We will now calculate the prime factors of 52407 and 52416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52407 and 52416.

How to find the GCF of 52407 and 52416?

We will first find the prime factorization of 52407 and 52416. After we will calculate the factors of 52407 and 52416 and find the biggest common factor number .

Step-1: Prime Factorization of 52407

Prime factors of 52407 are 3, 647. Prime factorization of 52407 in exponential form is:

52407 = 3⁴ × 647¹

Step-2: Prime Factorization of 52416

Prime factors of 52416 are 2, 3, 7, 13. Prime factorization of 52416 in exponential form is:

52416 = 2⁶ × 3² × 7¹ × 13¹

Step-3: Factors of 52407

List of positive integer factors of 52407 that divides 52407 without a remainder.

1, 3, 9, 27, 81, 647, 1941, 5823, 17469

Step-4: Factors of 52416

List of positive integer factors of 52416 that divides 52407 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 28, 32, 36, 39, 42, 48, 52, 56, 63, 64, 72, 78, 84, 91, 96, 104, 112, 117, 126, 144, 156, 168, 182, 192, 208, 224, 234, 252, 273, 288, 312, 336, 364, 416, 448, 468, 504, 546, 576, 624, 672, 728, 819, 832, 936, 1008, 1092, 1248, 1344, 1456, 1638, 1872, 2016, 2184, 2496, 2912, 3276, 3744, 4032, 4368, 5824, 6552, 7488, 8736, 13104, 17472, 26208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52407 and 52416. The biggest common factor number is the GCF number.
So the greatest common factor 52407 and 52416 is 9.

Also check out the Least Common Multiple of 52407 and 52416