What is the Greatest Common Factor of 58464 and 58478?

Greatest common factor (GCF) of 58464 and 58478 is 14.

GCF(58464,58478) = 14

We will now calculate the prime factors of 58464 and 58478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58464 and 58478.

How to find the GCF of 58464 and 58478?

We will first find the prime factorization of 58464 and 58478. After we will calculate the factors of 58464 and 58478 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 58478

Prime factors of 58478 are 2, 7, 4177. Prime factorization of 58478 in exponential form is:

58478 = 2¹ × 7¹ × 4177¹

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 58478

List of positive integer factors of 58478 that divides 58464 without a remainder.

1, 2, 7, 14, 4177, 8354, 29239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58464 and 58478. The biggest common factor number is the GCF number.
So the greatest common factor 58464 and 58478 is 14.

Also check out the Least Common Multiple of 58464 and 58478