What is the Greatest Common Factor of 88176 and 88180?

Greatest common factor (GCF) of 88176 and 88180 is 4.

GCF(88176,88180) = 4

We will now calculate the prime factors of 88176 and 88180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88176 and 88180.

How to find the GCF of 88176 and 88180?

We will first find the prime factorization of 88176 and 88180. After we will calculate the factors of 88176 and 88180 and find the biggest common factor number .

Step-1: Prime Factorization of 88176

Prime factors of 88176 are 2, 3, 11, 167. Prime factorization of 88176 in exponential form is:

88176 = 2⁴ × 3¹ × 11¹ × 167¹

Step-2: Prime Factorization of 88180

Prime factors of 88180 are 2, 5, 4409. Prime factorization of 88180 in exponential form is:

88180 = 2² × 5¹ × 4409¹

Step-3: Factors of 88176

List of positive integer factors of 88176 that divides 88176 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 167, 176, 264, 334, 501, 528, 668, 1002, 1336, 1837, 2004, 2672, 3674, 4008, 5511, 7348, 8016, 11022, 14696, 22044, 29392, 44088

Step-4: Factors of 88180

List of positive integer factors of 88180 that divides 88176 without a remainder.

1, 2, 4, 5, 10, 20, 4409, 8818, 17636, 22045, 44090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88176 and 88180. The biggest common factor number is the GCF number.
So the greatest common factor 88176 and 88180 is 4.

Also check out the Least Common Multiple of 88176 and 88180