What is the Greatest Common Factor of 52416 and 52428?

Greatest common factor (GCF) of 52416 and 52428 is 12.

GCF(52416,52428) = 12

We will now calculate the prime factors of 52416 and 52428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52416 and 52428.

How to find the GCF of 52416 and 52428?

We will first find the prime factorization of 52416 and 52428. After we will calculate the factors of 52416 and 52428 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52428

Prime factors of 52428 are 2, 3, 17, 257. Prime factorization of 52428 in exponential form is:

52428 = 2² × 3¹ × 17¹ × 257¹

Step-3: Factors of 52416

List of positive integer factors of 52416 that divides 52416 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

Step-4: Factors of 52428

List of positive integer factors of 52428 that divides 52416 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 257, 514, 771, 1028, 1542, 3084, 4369, 8738, 13107, 17476, 26214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52416 and 52428. The biggest common factor number is the GCF number.
So the greatest common factor 52416 and 52428 is 12.

Also check out the Least Common Multiple of 52416 and 52428