What is the Greatest Common Factor of 51138 and 51156?

Greatest common factor (GCF) of 51138 and 51156 is 18.

GCF(51138,51156) = 18

We will now calculate the prime factors of 51138 and 51156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51138 and 51156.

How to find the GCF of 51138 and 51156?

We will first find the prime factorization of 51138 and 51156. After we will calculate the factors of 51138 and 51156 and find the biggest common factor number .

Step-1: Prime Factorization of 51138

Prime factors of 51138 are 2, 3, 947. Prime factorization of 51138 in exponential form is:

51138 = 2¹ × 3³ × 947¹

Step-2: 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-3: Factors of 51138

List of positive integer factors of 51138 that divides 51138 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 947, 1894, 2841, 5682, 8523, 17046, 25569

Step-4: Factors of 51156

List of positive integer factors of 51156 that divides 51138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51138 and 51156. The biggest common factor number is the GCF number.
So the greatest common factor 51138 and 51156 is 18.

Also check out the Least Common Multiple of 51138 and 51156