What is the Greatest Common Factor of 58464 and 58479?

Greatest common factor (GCF) of 58464 and 58479 is 3.

GCF(58464,58479) = 3

We will now calculate the prime factors of 58464 and 58479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58464 and 58479.

How to find the GCF of 58464 and 58479?

We will first find the prime factorization of 58464 and 58479. After we will calculate the factors of 58464 and 58479 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 58479

Prime factors of 58479 are 3, 101, 193. Prime factorization of 58479 in exponential form is:

58479 = 3¹ × 101¹ × 193¹

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 58479

List of positive integer factors of 58479 that divides 58464 without a remainder.

1, 3, 101, 193, 303, 579, 19493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58464 and 58479. The biggest common factor number is the GCF number.
So the greatest common factor 58464 and 58479 is 3.

Also check out the Least Common Multiple of 58464 and 58479