What is the Greatest Common Factor of 52405 and 52416?

Greatest common factor (GCF) of 52405 and 52416 is 1.

GCF(52405,52416) = 1

We will now calculate the prime factors of 52405 and 52416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52405 and 52416.

How to find the GCF of 52405 and 52416?

We will first find the prime factorization of 52405 and 52416. After we will calculate the factors of 52405 and 52416 and find the biggest common factor number .

Step-1: Prime Factorization of 52405

Prime factors of 52405 are 5, 47, 223. Prime factorization of 52405 in exponential form is:

52405 = 5¹ × 47¹ × 223¹

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 52405

List of positive integer factors of 52405 that divides 52405 without a remainder.

1, 5, 47, 223, 235, 1115, 10481

Step-4: Factors of 52416

List of positive integer factors of 52416 that divides 52405 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 52405 and 52416. The biggest common factor number is the GCF number.
So the greatest common factor 52405 and 52416 is 1.

Also check out the Least Common Multiple of 52405 and 52416