What is the Greatest Common Factor of 58176 and 58192?

Greatest common factor (GCF) of 58176 and 58192 is 16.

GCF(58176,58192) = 16

We will now calculate the prime factors of 58176 and 58192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58176 and 58192.

How to find the GCF of 58176 and 58192?

We will first find the prime factorization of 58176 and 58192. After we will calculate the factors of 58176 and 58192 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 58192

Prime factors of 58192 are 2, 3637. Prime factorization of 58192 in exponential form is:

58192 = 2⁴ × 3637¹

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 58192

List of positive integer factors of 58192 that divides 58176 without a remainder.

1, 2, 4, 8, 16, 3637, 7274, 14548, 29096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58176 and 58192. The biggest common factor number is the GCF number.
So the greatest common factor 58176 and 58192 is 16.

Also check out the Least Common Multiple of 58176 and 58192