What is the Greatest Common Factor of 8146 and 8160?

Greatest common factor (GCF) of 8146 and 8160 is 2.

GCF(8146,8160) = 2

We will now calculate the prime factors of 8146 and 8160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8146 and 8160.

How to find the GCF of 8146 and 8160?

We will first find the prime factorization of 8146 and 8160. After we will calculate the factors of 8146 and 8160 and find the biggest common factor number .

Step-1: Prime Factorization of 8146

Prime factors of 8146 are 2, 4073. Prime factorization of 8146 in exponential form is:

8146 = 2¹ × 4073¹

Step-2: Prime Factorization of 8160

Prime factors of 8160 are 2, 3, 5, 17. Prime factorization of 8160 in exponential form is:

8160 = 2⁵ × 3¹ × 5¹ × 17¹

Step-3: Factors of 8146

List of positive integer factors of 8146 that divides 8146 without a remainder.

1, 2, 4073

Step-4: Factors of 8160

List of positive integer factors of 8160 that divides 8146 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8146 and 8160. The biggest common factor number is the GCF number.
So the greatest common factor 8146 and 8160 is 2.

Also check out the Least Common Multiple of 8146 and 8160