What is the Greatest Common Factor of 51071 and 51084?

Greatest common factor (GCF) of 51071 and 51084 is 1.

GCF(51071,51084) = 1

We will now calculate the prime factors of 51071 and 51084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51071 and 51084.

How to find the GCF of 51071 and 51084?

We will first find the prime factorization of 51071 and 51084. After we will calculate the factors of 51071 and 51084 and find the biggest common factor number .

Step-1: Prime Factorization of 51071

Prime factors of 51071 are 51071. Prime factorization of 51071 in exponential form is:

51071 = 51071¹

Step-2: 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-3: Factors of 51071

List of positive integer factors of 51071 that divides 51071 without a remainder.

Step-4: Factors of 51084

List of positive integer factors of 51084 that divides 51071 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51071 and 51084. The biggest common factor number is the GCF number.
So the greatest common factor 51071 and 51084 is 1.

Also check out the Least Common Multiple of 51071 and 51084