What is the Greatest Common Factor of 58464 and 58469?

Greatest common factor (GCF) of 58464 and 58469 is 1.

GCF(58464,58469) = 1

We will now calculate the prime factors of 58464 and 58469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58464 and 58469.

How to find the GCF of 58464 and 58469?

We will first find the prime factorization of 58464 and 58469. After we will calculate the factors of 58464 and 58469 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 58469

Prime factors of 58469 are 59, 991. Prime factorization of 58469 in exponential form is:

58469 = 59¹ × 991¹

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 58469

List of positive integer factors of 58469 that divides 58464 without a remainder.

1, 59, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58464 and 58469. The biggest common factor number is the GCF number.
So the greatest common factor 58464 and 58469 is 1.

Also check out the Least Common Multiple of 58464 and 58469