What is the Greatest Common Factor of 80160 and 80172?

Greatest common factor (GCF) of 80160 and 80172 is 12.

GCF(80160,80172) = 12

We will now calculate the prime factors of 80160 and 80172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80160 and 80172.

How to find the GCF of 80160 and 80172?

We will first find the prime factorization of 80160 and 80172. After we will calculate the factors of 80160 and 80172 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 80172

Prime factors of 80172 are 2, 3, 17, 131. Prime factorization of 80172 in exponential form is:

80172 = 2² × 3² × 17¹ × 131¹

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 80172

List of positive integer factors of 80172 that divides 80160 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 131, 153, 204, 262, 306, 393, 524, 612, 786, 1179, 1572, 2227, 2358, 4454, 4716, 6681, 8908, 13362, 20043, 26724, 40086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80160 and 80172. The biggest common factor number is the GCF number.
So the greatest common factor 80160 and 80172 is 12.

Also check out the Least Common Multiple of 80160 and 80172