What is the Greatest Common Factor of 80154 and 80160?

Greatest common factor (GCF) of 80154 and 80160 is 6.

GCF(80154,80160) = 6

We will now calculate the prime factors of 80154 and 80160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80154 and 80160.

How to find the GCF of 80154 and 80160?

We will first find the prime factorization of 80154 and 80160. After we will calculate the factors of 80154 and 80160 and find the biggest common factor number .

Step-1: Prime Factorization of 80154

Prime factors of 80154 are 2, 3, 61, 73. Prime factorization of 80154 in exponential form is:

80154 = 2¹ × 3² × 61¹ × 73¹

Step-2: 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-3: Factors of 80154

List of positive integer factors of 80154 that divides 80154 without a remainder.

1, 2, 3, 6, 9, 18, 61, 73, 122, 146, 183, 219, 366, 438, 549, 657, 1098, 1314, 4453, 8906, 13359, 26718, 40077

Step-4: Factors of 80160

List of positive integer factors of 80160 that divides 80154 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80154 and 80160. The biggest common factor number is the GCF number.
So the greatest common factor 80154 and 80160 is 6.

Also check out the Least Common Multiple of 80154 and 80160