What is the Greatest Common Factor of 51170 and 51180?

Greatest common factor (GCF) of 51170 and 51180 is 10.

GCF(51170,51180) = 10

We will now calculate the prime factors of 51170 and 51180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51170 and 51180.

How to find the GCF of 51170 and 51180?

We will first find the prime factorization of 51170 and 51180. After we will calculate the factors of 51170 and 51180 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 51180

Prime factors of 51180 are 2, 3, 5, 853. Prime factorization of 51180 in exponential form is:

51180 = 2² × 3¹ × 5¹ × 853¹

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 51180

List of positive integer factors of 51180 that divides 51170 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 853, 1706, 2559, 3412, 4265, 5118, 8530, 10236, 12795, 17060, 25590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51170 and 51180. The biggest common factor number is the GCF number.
So the greatest common factor 51170 and 51180 is 10.

Also check out the Least Common Multiple of 51170 and 51180