What is the Greatest Common Factor of 51084 and 51102?

Greatest common factor (GCF) of 51084 and 51102 is 18.

GCF(51084,51102) = 18

We will now calculate the prime factors of 51084 and 51102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51084 and 51102.

How to find the GCF of 51084 and 51102?

We will first find the prime factorization of 51084 and 51102. After we will calculate the factors of 51084 and 51102 and find the biggest common factor number .

Step-1: Prime Factorization of 51084

Prime factors of 51084 are 2, 3, 11, 43. Prime factorization of 51084 in exponential form is:

51084 = 2² × 3³ × 11¹ × 43¹

Step-2: Prime Factorization of 51102

Prime factors of 51102 are 2, 3, 17, 167. Prime factorization of 51102 in exponential form is:

51102 = 2¹ × 3² × 17¹ × 167¹

Step-3: Factors of 51084

List of positive integer factors of 51084 that divides 51084 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 43, 44, 54, 66, 86, 99, 108, 129, 132, 172, 198, 258, 297, 387, 396, 473, 516, 594, 774, 946, 1161, 1188, 1419, 1548, 1892, 2322, 2838, 4257, 4644, 5676, 8514, 12771, 17028, 25542

Step-4: Factors of 51102

List of positive integer factors of 51102 that divides 51084 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 167, 306, 334, 501, 1002, 1503, 2839, 3006, 5678, 8517, 17034, 25551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51084 and 51102. The biggest common factor number is the GCF number.
So the greatest common factor 51084 and 51102 is 18.

Also check out the Least Common Multiple of 51084 and 51102