What is the Greatest Common Factor of 52403 and 52416?

Greatest common factor (GCF) of 52403 and 52416 is 13.

GCF(52403,52416) = 13

We will now calculate the prime factors of 52403 and 52416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52403 and 52416.

How to find the GCF of 52403 and 52416?

We will first find the prime factorization of 52403 and 52416. After we will calculate the factors of 52403 and 52416 and find the biggest common factor number .

Step-1: Prime Factorization of 52403

Prime factors of 52403 are 13, 29, 139. Prime factorization of 52403 in exponential form is:

52403 = 13¹ × 29¹ × 139¹

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 52403

List of positive integer factors of 52403 that divides 52403 without a remainder.

1, 13, 29, 139, 377, 1807, 4031

Step-4: Factors of 52416

List of positive integer factors of 52416 that divides 52403 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 52403 and 52416. The biggest common factor number is the GCF number.
So the greatest common factor 52403 and 52416 is 13.

Also check out the Least Common Multiple of 52403 and 52416