What is the Greatest Common Factor of 58450 and 58464?

Greatest common factor (GCF) of 58450 and 58464 is 14.

GCF(58450,58464) = 14

We will now calculate the prime factors of 58450 and 58464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58450 and 58464.

How to find the GCF of 58450 and 58464?

We will first find the prime factorization of 58450 and 58464. After we will calculate the factors of 58450 and 58464 and find the biggest common factor number .

Step-1: Prime Factorization of 58450

Prime factors of 58450 are 2, 5, 7, 167. Prime factorization of 58450 in exponential form is:

58450 = 2¹ × 5² × 7¹ × 167¹

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 58450

List of positive integer factors of 58450 that divides 58450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 167, 175, 334, 350, 835, 1169, 1670, 2338, 4175, 5845, 8350, 11690, 29225

Step-4: Factors of 58464

List of positive integer factors of 58464 that divides 58450 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 58450 and 58464. The biggest common factor number is the GCF number.
So the greatest common factor 58450 and 58464 is 14.

Also check out the Least Common Multiple of 58450 and 58464