What is the Greatest Common Factor of 2176 and 2185?

Greatest common factor (GCF) of 2176 and 2185 is 1.

GCF(2176,2185) = 1

We will now calculate the prime factors of 2176 and 2185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2176 and 2185.

How to find the GCF of 2176 and 2185?

We will first find the prime factorization of 2176 and 2185. After we will calculate the factors of 2176 and 2185 and find the biggest common factor number .

Step-1: Prime Factorization of 2176

Prime factors of 2176 are 2, 17. Prime factorization of 2176 in exponential form is:

2176 = 2⁷ × 17¹

Step-2: Prime Factorization of 2185

Prime factors of 2185 are 5, 19, 23. Prime factorization of 2185 in exponential form is:

2185 = 5¹ × 19¹ × 23¹

Step-3: Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088

Step-4: Factors of 2185

List of positive integer factors of 2185 that divides 2176 without a remainder.

1, 5, 19, 23, 95, 115, 437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2176 and 2185. The biggest common factor number is the GCF number.
So the greatest common factor 2176 and 2185 is 1.

Also check out the Least Common Multiple of 2176 and 2185