What is the Greatest Common Factor of 51165 and 51170?

Greatest common factor (GCF) of 51165 and 51170 is 5.

GCF(51165,51170) = 5

We will now calculate the prime factors of 51165 and 51170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51165 and 51170.

How to find the GCF of 51165 and 51170?

We will first find the prime factorization of 51165 and 51170. After we will calculate the factors of 51165 and 51170 and find the biggest common factor number .

Step-1: Prime Factorization of 51165

Prime factors of 51165 are 3, 5, 379. Prime factorization of 51165 in exponential form is:

51165 = 3³ × 5¹ × 379¹

Step-2: Prime Factorization of 51170

Prime factors of 51170 are 2, 5, 7, 17, 43. Prime factorization of 51170 in exponential form is:

51170 = 2¹ × 5¹ × 7¹ × 17¹ × 43¹

Step-3: Factors of 51165

List of positive integer factors of 51165 that divides 51165 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 379, 1137, 1895, 3411, 5685, 10233, 17055

Step-4: Factors of 51170

List of positive integer factors of 51170 that divides 51165 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 43, 70, 85, 86, 119, 170, 215, 238, 301, 430, 595, 602, 731, 1190, 1462, 1505, 3010, 3655, 5117, 7310, 10234, 25585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51165 and 51170. The biggest common factor number is the GCF number.
So the greatest common factor 51165 and 51170 is 5.

Also check out the Least Common Multiple of 51165 and 51170