What is the Greatest Common Factor of 51243 and 51249?

Greatest common factor (GCF) of 51243 and 51249 is 3.

GCF(51243,51249) = 3

We will now calculate the prime factors of 51243 and 51249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51243 and 51249.

How to find the GCF of 51243 and 51249?

We will first find the prime factorization of 51243 and 51249. After we will calculate the factors of 51243 and 51249 and find the biggest common factor number .

Step-1: Prime Factorization of 51243

Prime factors of 51243 are 3, 19, 29, 31. Prime factorization of 51243 in exponential form is:

51243 = 3¹ × 19¹ × 29¹ × 31¹

Step-2: Prime Factorization of 51249

Prime factors of 51249 are 3, 11, 1553. Prime factorization of 51249 in exponential form is:

51249 = 3¹ × 11¹ × 1553¹

Step-3: Factors of 51243

List of positive integer factors of 51243 that divides 51243 without a remainder.

1, 3, 19, 29, 31, 57, 87, 93, 551, 589, 899, 1653, 1767, 2697, 17081

Step-4: Factors of 51249

List of positive integer factors of 51249 that divides 51243 without a remainder.

1, 3, 11, 33, 1553, 4659, 17083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51243 and 51249. The biggest common factor number is the GCF number.
So the greatest common factor 51243 and 51249 is 3.

Also check out the Least Common Multiple of 51243 and 51249