What is the Greatest Common Factor of 5170 and 5175?

Greatest common factor (GCF) of 5170 and 5175 is 5.

GCF(5170,5175) = 5

We will now calculate the prime factors of 5170 and 5175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5170 and 5175.

How to find the GCF of 5170 and 5175?

We will first find the prime factorization of 5170 and 5175. After we will calculate the factors of 5170 and 5175 and find the biggest common factor number .

Step-1: Prime Factorization of 5170

Prime factors of 5170 are 2, 5, 11, 47. Prime factorization of 5170 in exponential form is:

5170 = 2¹ × 5¹ × 11¹ × 47¹

Step-2: Prime Factorization of 5175

Prime factors of 5175 are 3, 5, 23. Prime factorization of 5175 in exponential form is:

5175 = 3² × 5² × 23¹

Step-3: Factors of 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585

Step-4: Factors of 5175

List of positive integer factors of 5175 that divides 5170 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5170 and 5175. The biggest common factor number is the GCF number.
So the greatest common factor 5170 and 5175 is 5.

Also check out the Least Common Multiple of 5170 and 5175