What is the Greatest Common Factor of 51170 and 51187?

Greatest common factor (GCF) of 51170 and 51187 is 17.

GCF(51170,51187) = 17

We will now calculate the prime factors of 51170 and 51187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51170 and 51187.

How to find the GCF of 51170 and 51187?

We will first find the prime factorization of 51170 and 51187. After we will calculate the factors of 51170 and 51187 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51187

Prime factors of 51187 are 17, 3011. Prime factorization of 51187 in exponential form is:

51187 = 17¹ × 3011¹

Step-3: Factors of 51170

List of positive integer factors of 51170 that divides 51170 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

Step-4: Factors of 51187

List of positive integer factors of 51187 that divides 51170 without a remainder.

1, 17, 3011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51170 and 51187. The biggest common factor number is the GCF number.
So the greatest common factor 51170 and 51187 is 17.

Also check out the Least Common Multiple of 51170 and 51187