What is the Greatest Common Factor of 80160 and 80175?

Greatest common factor (GCF) of 80160 and 80175 is 15.

GCF(80160,80175) = 15

We will now calculate the prime factors of 80160 and 80175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80160 and 80175.

How to find the GCF of 80160 and 80175?

We will first find the prime factorization of 80160 and 80175. After we will calculate the factors of 80160 and 80175 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 80175

Prime factors of 80175 are 3, 5, 1069. Prime factorization of 80175 in exponential form is:

80175 = 3¹ × 5² × 1069¹

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 80175

List of positive integer factors of 80175 that divides 80160 without a remainder.

1, 3, 5, 15, 25, 75, 1069, 3207, 5345, 16035, 26725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80160 and 80175. The biggest common factor number is the GCF number.
So the greatest common factor 80160 and 80175 is 15.

Also check out the Least Common Multiple of 80160 and 80175