What is the Greatest Common Factor of 5140 and 5145?

Greatest common factor (GCF) of 5140 and 5145 is 5.

GCF(5140,5145) = 5

We will now calculate the prime factors of 5140 and 5145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5140 and 5145.

How to find the GCF of 5140 and 5145?

We will first find the prime factorization of 5140 and 5145. After we will calculate the factors of 5140 and 5145 and find the biggest common factor number .

Step-1: Prime Factorization of 5140

Prime factors of 5140 are 2, 5, 257. Prime factorization of 5140 in exponential form is:

5140 = 2² × 5¹ × 257¹

Step-2: Prime Factorization of 5145

Prime factors of 5145 are 3, 5, 7. Prime factorization of 5145 in exponential form is:

5145 = 3¹ × 5¹ × 7³

Step-3: Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570

Step-4: Factors of 5145

List of positive integer factors of 5145 that divides 5140 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5140 and 5145. The biggest common factor number is the GCF number.
So the greatest common factor 5140 and 5145 is 5.

Also check out the Least Common Multiple of 5140 and 5145