What is the Greatest Common Factor of 88160 and 88176?

Greatest common factor (GCF) of 88160 and 88176 is 16.

GCF(88160,88176) = 16

We will now calculate the prime factors of 88160 and 88176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88160 and 88176.

How to find the GCF of 88160 and 88176?

We will first find the prime factorization of 88160 and 88176. After we will calculate the factors of 88160 and 88176 and find the biggest common factor number .

Step-1: Prime Factorization of 88160

Prime factors of 88160 are 2, 5, 19, 29. Prime factorization of 88160 in exponential form is:

88160 = 2⁵ × 5¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 88160

List of positive integer factors of 88160 that divides 88160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 29, 32, 38, 40, 58, 76, 80, 95, 116, 145, 152, 160, 190, 232, 290, 304, 380, 464, 551, 580, 608, 760, 928, 1102, 1160, 1520, 2204, 2320, 2755, 3040, 4408, 4640, 5510, 8816, 11020, 17632, 22040, 44080

Step-4: Factors of 88176

List of positive integer factors of 88176 that divides 88160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88160 and 88176. The biggest common factor number is the GCF number.
So the greatest common factor 88160 and 88176 is 16.

Also check out the Least Common Multiple of 88160 and 88176