What is the Greatest Common Factor of 51249 and 51261?

Greatest common factor (GCF) of 51249 and 51261 is 3.

GCF(51249,51261) = 3

We will now calculate the prime factors of 51249 and 51261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51249 and 51261.

How to find the GCF of 51249 and 51261?

We will first find the prime factorization of 51249 and 51261. After we will calculate the factors of 51249 and 51261 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51261

Prime factors of 51261 are 3, 7, 2441. Prime factorization of 51261 in exponential form is:

51261 = 3¹ × 7¹ × 2441¹

Step-3: Factors of 51249

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

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

Step-4: Factors of 51261

List of positive integer factors of 51261 that divides 51249 without a remainder.

1, 3, 7, 21, 2441, 7323, 17087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51249 and 51261. The biggest common factor number is the GCF number.
So the greatest common factor 51249 and 51261 is 3.

Also check out the Least Common Multiple of 51249 and 51261