What is the Greatest Common Factor of 80160 and 80178?

Greatest common factor (GCF) of 80160 and 80178 is 6.

GCF(80160,80178) = 6

We will now calculate the prime factors of 80160 and 80178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80160 and 80178.

How to find the GCF of 80160 and 80178?

We will first find the prime factorization of 80160 and 80178. After we will calculate the factors of 80160 and 80178 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 80178

Prime factors of 80178 are 2, 3, 7, 23, 83. Prime factorization of 80178 in exponential form is:

80178 = 2¹ × 3¹ × 7¹ × 23¹ × 83¹

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 80178

List of positive integer factors of 80178 that divides 80160 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 83, 138, 161, 166, 249, 322, 483, 498, 581, 966, 1162, 1743, 1909, 3486, 3818, 5727, 11454, 13363, 26726, 40089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80160 and 80178. The biggest common factor number is the GCF number.
So the greatest common factor 80160 and 80178 is 6.

Also check out the Least Common Multiple of 80160 and 80178