What is the Greatest Common Factor of 8160 and 8176?

Greatest common factor (GCF) of 8160 and 8176 is 16.

GCF(8160,8176) = 16

We will now calculate the prime factors of 8160 and 8176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8160 and 8176.

How to find the GCF of 8160 and 8176?

We will first find the prime factorization of 8160 and 8176. After we will calculate the factors of 8160 and 8176 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8176

Prime factors of 8176 are 2, 7, 73. Prime factorization of 8176 in exponential form is:

8176 = 2⁴ × 7¹ × 73¹

Step-3: Factors of 8160

List of positive integer factors of 8160 that divides 8160 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

Step-4: Factors of 8176

List of positive integer factors of 8176 that divides 8160 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8160 and 8176. The biggest common factor number is the GCF number.
So the greatest common factor 8160 and 8176 is 16.

Also check out the Least Common Multiple of 8160 and 8176