What is the Greatest Common Factor of 58172 and 58176?

Greatest common factor (GCF) of 58172 and 58176 is 4.

GCF(58172,58176) = 4

We will now calculate the prime factors of 58172 and 58176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58172 and 58176.

How to find the GCF of 58172 and 58176?

We will first find the prime factorization of 58172 and 58176. After we will calculate the factors of 58172 and 58176 and find the biggest common factor number .

Step-1: Prime Factorization of 58172

Prime factors of 58172 are 2, 14543. Prime factorization of 58172 in exponential form is:

58172 = 2² × 14543¹

Step-2: 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-3: Factors of 58172

List of positive integer factors of 58172 that divides 58172 without a remainder.

1, 2, 4, 14543, 29086

Step-4: Factors of 58176

List of positive integer factors of 58176 that divides 58172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58172 and 58176. The biggest common factor number is the GCF number.
So the greatest common factor 58172 and 58176 is 4.

Also check out the Least Common Multiple of 58172 and 58176