What is the Greatest Common Factor of 52416 and 52430?

Greatest common factor (GCF) of 52416 and 52430 is 14.

GCF(52416,52430) = 14

We will now calculate the prime factors of 52416 and 52430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52416 and 52430.

How to find the GCF of 52416 and 52430?

We will first find the prime factorization of 52416 and 52430. After we will calculate the factors of 52416 and 52430 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 52430

Prime factors of 52430 are 2, 5, 7, 107. Prime factorization of 52430 in exponential form is:

52430 = 2¹ × 5¹ × 7² × 107¹

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 52430

List of positive integer factors of 52430 that divides 52416 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 107, 214, 245, 490, 535, 749, 1070, 1498, 3745, 5243, 7490, 10486, 26215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52416 and 52430. The biggest common factor number is the GCF number.
So the greatest common factor 52416 and 52430 is 14.

Also check out the Least Common Multiple of 52416 and 52430