What is the Greatest Common Factor of 80160 and 80166?

Greatest common factor (GCF) of 80160 and 80166 is 6.

GCF(80160,80166) = 6

We will now calculate the prime factors of 80160 and 80166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80160 and 80166.

How to find the GCF of 80160 and 80166?

We will first find the prime factorization of 80160 and 80166. After we will calculate the factors of 80160 and 80166 and find the biggest common factor number .

Step-1: Prime Factorization of 80160

Prime factors of 80160 are 2, 3, 5, 167. Prime factorization of 80160 in exponential form is:

80160 = 2⁵ × 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 80166

Prime factors of 80166 are 2, 3, 31, 431. Prime factorization of 80166 in exponential form is:

80166 = 2¹ × 3¹ × 31¹ × 431¹

Step-3: Factors of 80160

List of positive integer factors of 80160 that divides 80160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 167, 240, 334, 480, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 2672, 3340, 4008, 5010, 5344, 6680, 8016, 10020, 13360, 16032, 20040, 26720, 40080

Step-4: Factors of 80166

List of positive integer factors of 80166 that divides 80160 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 431, 862, 1293, 2586, 13361, 26722, 40083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80160 and 80166. The biggest common factor number is the GCF number.
So the greatest common factor 80160 and 80166 is 6.

Also check out the Least Common Multiple of 80160 and 80166