What is the Greatest Common Factor of 3145 and 3155?

Greatest common factor (GCF) of 3145 and 3155 is 5.

GCF(3145,3155) = 5

We will now calculate the prime factors of 3145 and 3155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3145 and 3155.

How to find the GCF of 3145 and 3155?

We will first find the prime factorization of 3145 and 3155. After we will calculate the factors of 3145 and 3155 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 3155

Prime factors of 3155 are 5, 631. Prime factorization of 3155 in exponential form is:

3155 = 5¹ × 631¹

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 3155

List of positive integer factors of 3155 that divides 3145 without a remainder.

1, 5, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3145 and 3155. The biggest common factor number is the GCF number.
So the greatest common factor 3145 and 3155 is 5.

Also check out the Least Common Multiple of 3145 and 3155