What is the Greatest Common Factor of 58176 and 58184?

Greatest common factor (GCF) of 58176 and 58184 is 8.

GCF(58176,58184) = 8

We will now calculate the prime factors of 58176 and 58184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58176 and 58184.

How to find the GCF of 58176 and 58184?

We will first find the prime factorization of 58176 and 58184. After we will calculate the factors of 58176 and 58184 and find the biggest common factor number .

Step-1: Prime Factorization of 58176

Prime factors of 58176 are 2, 3, 101. Prime factorization of 58176 in exponential form is:

58176 = 2⁶ × 3² × 101¹

Step-2: Prime Factorization of 58184

Prime factors of 58184 are 2, 7, 1039. Prime factorization of 58184 in exponential form is:

58184 = 2³ × 7¹ × 1039¹

Step-3: Factors of 58176

List of positive integer factors of 58176 that divides 58176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 101, 144, 192, 202, 288, 303, 404, 576, 606, 808, 909, 1212, 1616, 1818, 2424, 3232, 3636, 4848, 6464, 7272, 9696, 14544, 19392, 29088

Step-4: Factors of 58184

List of positive integer factors of 58184 that divides 58176 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1039, 2078, 4156, 7273, 8312, 14546, 29092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58176 and 58184. The biggest common factor number is the GCF number.
So the greatest common factor 58176 and 58184 is 8.

Also check out the Least Common Multiple of 58176 and 58184