What is the Greatest Common Factor of 58448 and 58464?

Greatest common factor (GCF) of 58448 and 58464 is 16.

GCF(58448,58464) = 16

We will now calculate the prime factors of 58448 and 58464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58464.

How to find the GCF of 58448 and 58464?

We will first find the prime factorization of 58448 and 58464. After we will calculate the factors of 58448 and 58464 and find the biggest common factor number .

Step-1: Prime Factorization of 58448

Prime factors of 58448 are 2, 13, 281. Prime factorization of 58448 in exponential form is:

58448 = 2⁴ × 13¹ × 281¹

Step-2: 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-3: Factors of 58448

List of positive integer factors of 58448 that divides 58448 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 281, 562, 1124, 2248, 3653, 4496, 7306, 14612, 29224

Step-4: Factors of 58464

List of positive integer factors of 58464 that divides 58448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58448 and 58464. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58464 is 16.

Also check out the Least Common Multiple of 58448 and 58464