What is the Greatest Common Factor of 2168 and 2175?

Greatest common factor (GCF) of 2168 and 2175 is 1.

GCF(2168,2175) = 1

We will now calculate the prime factors of 2168 and 2175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2168 and 2175.

How to find the GCF of 2168 and 2175?

We will first find the prime factorization of 2168 and 2175. After we will calculate the factors of 2168 and 2175 and find the biggest common factor number .

Step-1: Prime Factorization of 2168

Prime factors of 2168 are 2, 271. Prime factorization of 2168 in exponential form is:

2168 = 2³ × 271¹

Step-2: Prime Factorization of 2175

Prime factors of 2175 are 3, 5, 29. Prime factorization of 2175 in exponential form is:

2175 = 3¹ × 5² × 29¹

Step-3: Factors of 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1, 2, 4, 8, 271, 542, 1084

Step-4: Factors of 2175

List of positive integer factors of 2175 that divides 2168 without a remainder.

1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2168 and 2175. The biggest common factor number is the GCF number.
So the greatest common factor 2168 and 2175 is 1.

Also check out the Least Common Multiple of 2168 and 2175