What is the Greatest Common Factor of 3145 and 3162?

Greatest common factor (GCF) of 3145 and 3162 is 17.

GCF(3145,3162) = 17

We will now calculate the prime factors of 3145 and 3162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3145 and 3162.

How to find the GCF of 3145 and 3162?

We will first find the prime factorization of 3145 and 3162. After we will calculate the factors of 3145 and 3162 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 3162

Prime factors of 3162 are 2, 3, 17, 31. Prime factorization of 3162 in exponential form is:

3162 = 2¹ × 3¹ × 17¹ × 31¹

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 3162

List of positive integer factors of 3162 that divides 3145 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3145 and 3162. The biggest common factor number is the GCF number.
So the greatest common factor 3145 and 3162 is 17.

Also check out the Least Common Multiple of 3145 and 3162