What is the Greatest Common Factor of 3140 and 3145?

Greatest common factor (GCF) of 3140 and 3145 is 5.

GCF(3140,3145) = 5

We will now calculate the prime factors of 3140 and 3145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3140 and 3145.

How to find the GCF of 3140 and 3145?

We will first find the prime factorization of 3140 and 3145. After we will calculate the factors of 3140 and 3145 and find the biggest common factor number .

Step-1: Prime Factorization of 3140

Prime factors of 3140 are 2, 5, 157. Prime factorization of 3140 in exponential form is:

3140 = 2² × 5¹ × 157¹

Step-2: 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-3: Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570

Step-4: Factors of 3145

List of positive integer factors of 3145 that divides 3140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3140 and 3145. The biggest common factor number is the GCF number.
So the greatest common factor 3140 and 3145 is 5.

Also check out the Least Common Multiple of 3140 and 3145