What is the Greatest Common Factor of 8169 and 8175?

Greatest common factor (GCF) of 8169 and 8175 is 3.

GCF(8169,8175) = 3

We will now calculate the prime factors of 8169 and 8175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8169 and 8175.

How to find the GCF of 8169 and 8175?

We will first find the prime factorization of 8169 and 8175. After we will calculate the factors of 8169 and 8175 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8175

Prime factors of 8175 are 3, 5, 109. Prime factorization of 8175 in exponential form is:

8175 = 3¹ × 5² × 109¹

Step-3: Factors of 8169

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

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

Step-4: Factors of 8175

List of positive integer factors of 8175 that divides 8169 without a remainder.

1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8169 and 8175. The biggest common factor number is the GCF number.
So the greatest common factor 8169 and 8175 is 3.

Also check out the Least Common Multiple of 8169 and 8175