What is the Greatest Common Factor of 52409 and 52416?

Greatest common factor (GCF) of 52409 and 52416 is 7.

GCF(52409,52416) = 7

We will now calculate the prime factors of 52409 and 52416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52409 and 52416.

How to find the GCF of 52409 and 52416?

We will first find the prime factorization of 52409 and 52416. After we will calculate the factors of 52409 and 52416 and find the biggest common factor number .

Step-1: Prime Factorization of 52409

Prime factors of 52409 are 7, 7487. Prime factorization of 52409 in exponential form is:

52409 = 7¹ × 7487¹

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 52409

List of positive integer factors of 52409 that divides 52409 without a remainder.

1, 7, 7487

Step-4: Factors of 52416

List of positive integer factors of 52416 that divides 52409 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 52409 and 52416. The biggest common factor number is the GCF number.
So the greatest common factor 52409 and 52416 is 7.

Also check out the Least Common Multiple of 52409 and 52416