What is the Greatest Common Factor of 3145 and 3163?

Greatest common factor (GCF) of 3145 and 3163 is 1.

GCF(3145,3163) = 1

We will now calculate the prime factors of 3145 and 3163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3145 and 3163.

How to find the GCF of 3145 and 3163?

We will first find the prime factorization of 3145 and 3163. After we will calculate the factors of 3145 and 3163 and find the biggest common factor number .

Step-1: Prime Factorization of 3145

Prime factors of 3145 are 5, 17, 37. Prime factorization of 3145 in exponential form is:

3145 = 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 3163

Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:

3163 = 3163¹

Step-3: Factors of 3145

List of positive integer factors of 3145 that divides 3145 without a remainder.

1, 5, 17, 37, 85, 185, 629

Step-4: Factors of 3163

List of positive integer factors of 3163 that divides 3145 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3145 and 3163. The biggest common factor number is the GCF number.
So the greatest common factor 3145 and 3163 is 1.

Also check out the Least Common Multiple of 3145 and 3163