What is the Greatest Common Factor of 8160 and 8169?

Greatest common factor (GCF) of 8160 and 8169 is 3.

GCF(8160,8169) = 3

We will now calculate the prime factors of 8160 and 8169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8160 and 8169.

How to find the GCF of 8160 and 8169?

We will first find the prime factorization of 8160 and 8169. After we will calculate the factors of 8160 and 8169 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 8169

Prime factors of 8169 are 3, 7, 389. Prime factorization of 8169 in exponential form is:

8169 = 3¹ × 7¹ × 389¹

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 8169

List of positive integer factors of 8169 that divides 8160 without a remainder.

1, 3, 7, 21, 389, 1167, 2723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8160 and 8169. The biggest common factor number is the GCF number.
So the greatest common factor 8160 and 8169 is 3.

Also check out the Least Common Multiple of 8160 and 8169