What is the Greatest Common Factor of 80144 and 80160?

Greatest common factor (GCF) of 80144 and 80160 is 16.

GCF(80144,80160) = 16

We will now calculate the prime factors of 80144 and 80160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80144 and 80160.

How to find the GCF of 80144 and 80160?

We will first find the prime factorization of 80144 and 80160. After we will calculate the factors of 80144 and 80160 and find the biggest common factor number .

Step-1: Prime Factorization of 80144

Prime factors of 80144 are 2, 5009. Prime factorization of 80144 in exponential form is:

80144 = 2⁴ × 5009¹

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 80144

List of positive integer factors of 80144 that divides 80144 without a remainder.

1, 2, 4, 8, 16, 5009, 10018, 20036, 40072

Step-4: Factors of 80160

List of positive integer factors of 80160 that divides 80144 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 80144 and 80160. The biggest common factor number is the GCF number.
So the greatest common factor 80144 and 80160 is 16.

Also check out the Least Common Multiple of 80144 and 80160