What is the Greatest Common Factor of 58464 and 58476?

Greatest common factor (GCF) of 58464 and 58476 is 12.

GCF(58464,58476) = 12

We will now calculate the prime factors of 58464 and 58476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58464 and 58476.

How to find the GCF of 58464 and 58476?

We will first find the prime factorization of 58464 and 58476. After we will calculate the factors of 58464 and 58476 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 58476

Prime factors of 58476 are 2, 3, 11, 443. Prime factorization of 58476 in exponential form is:

58476 = 2² × 3¹ × 11¹ × 443¹

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 58476

List of positive integer factors of 58476 that divides 58464 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 443, 886, 1329, 1772, 2658, 4873, 5316, 9746, 14619, 19492, 29238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58464 and 58476. The biggest common factor number is the GCF number.
So the greatest common factor 58464 and 58476 is 12.

Also check out the Least Common Multiple of 58464 and 58476