What is the Greatest Common Factor of 88160 and 88166?

Greatest common factor (GCF) of 88160 and 88166 is 2.

GCF(88160,88166) = 2

We will now calculate the prime factors of 88160 and 88166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88160 and 88166.

How to find the GCF of 88160 and 88166?

We will first find the prime factorization of 88160 and 88166. After we will calculate the factors of 88160 and 88166 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 88166

Prime factors of 88166 are 2, 13, 3391. Prime factorization of 88166 in exponential form is:

88166 = 2¹ × 13¹ × 3391¹

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 88166

List of positive integer factors of 88166 that divides 88160 without a remainder.

1, 2, 13, 26, 3391, 6782, 44083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88160 and 88166. The biggest common factor number is the GCF number.
So the greatest common factor 88160 and 88166 is 2.

Also check out the Least Common Multiple of 88160 and 88166