What is the Greatest Common Factor of 58464 and 58482?

Greatest common factor (GCF) of 58464 and 58482 is 18.

GCF(58464,58482) = 18

We will now calculate the prime factors of 58464 and 58482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58464 and 58482.

How to find the GCF of 58464 and 58482?

We will first find the prime factorization of 58464 and 58482. After we will calculate the factors of 58464 and 58482 and find the biggest common factor number .

Step-1: Prime Factorization of 58464

Prime factors of 58464 are 2, 3, 7, 29. Prime factorization of 58464 in exponential form is:

58464 = 2⁵ × 3² × 7¹ × 29¹

Step-2: Prime Factorization of 58482

Prime factors of 58482 are 2, 3, 19. Prime factorization of 58482 in exponential form is:

58482 = 2¹ × 3⁴ × 19²

Step-3: Factors of 58464

List of positive integer factors of 58464 that divides 58464 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 29, 32, 36, 42, 48, 56, 58, 63, 72, 84, 87, 96, 112, 116, 126, 144, 168, 174, 203, 224, 232, 252, 261, 288, 336, 348, 406, 464, 504, 522, 609, 672, 696, 812, 928, 1008, 1044, 1218, 1392, 1624, 1827, 2016, 2088, 2436, 2784, 3248, 3654, 4176, 4872, 6496, 7308, 8352, 9744, 14616, 19488, 29232

Step-4: Factors of 58482

List of positive integer factors of 58482 that divides 58464 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 361, 513, 722, 1026, 1083, 1539, 2166, 3078, 3249, 6498, 9747, 19494, 29241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58464 and 58482. The biggest common factor number is the GCF number.
So the greatest common factor 58464 and 58482 is 18.

Also check out the Least Common Multiple of 58464 and 58482