What is the Greatest Common Factor of 51156 and 51170?

Greatest common factor (GCF) of 51156 and 51170 is 14.

GCF(51156,51170) = 14

We will now calculate the prime factors of 51156 and 51170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51156 and 51170.

How to find the GCF of 51156 and 51170?

We will first find the prime factorization of 51156 and 51170. After we will calculate the factors of 51156 and 51170 and find the biggest common factor number .

Step-1: Prime Factorization of 51156

Prime factors of 51156 are 2, 3, 7, 29. Prime factorization of 51156 in exponential form is:

51156 = 2² × 3² × 7² × 29¹

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 51156

List of positive integer factors of 51156 that divides 51156 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 49, 58, 63, 84, 87, 98, 116, 126, 147, 174, 196, 203, 252, 261, 294, 348, 406, 441, 522, 588, 609, 812, 882, 1044, 1218, 1421, 1764, 1827, 2436, 2842, 3654, 4263, 5684, 7308, 8526, 12789, 17052, 25578

Step-4: Factors of 51170

List of positive integer factors of 51170 that divides 51156 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 51156 and 51170. The biggest common factor number is the GCF number.
So the greatest common factor 51156 and 51170 is 14.

Also check out the Least Common Multiple of 51156 and 51170