What is the Greatest Common Factor of 51849 and 51867?

Greatest common factor (GCF) of 51849 and 51867 is 9.

GCF(51849,51867) = 9

We will now calculate the prime factors of 51849 and 51867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51849 and 51867.

How to find the GCF of 51849 and 51867?

We will first find the prime factorization of 51849 and 51867. After we will calculate the factors of 51849 and 51867 and find the biggest common factor number .

Step-1: Prime Factorization of 51849

Prime factors of 51849 are 3, 7, 823. Prime factorization of 51849 in exponential form is:

51849 = 3² × 7¹ × 823¹

Step-2: Prime Factorization of 51867

Prime factors of 51867 are 3, 17, 113. Prime factorization of 51867 in exponential form is:

51867 = 3³ × 17¹ × 113¹

Step-3: Factors of 51849

List of positive integer factors of 51849 that divides 51849 without a remainder.

1, 3, 7, 9, 21, 63, 823, 2469, 5761, 7407, 17283

Step-4: Factors of 51867

List of positive integer factors of 51867 that divides 51849 without a remainder.

1, 3, 9, 17, 27, 51, 113, 153, 339, 459, 1017, 1921, 3051, 5763, 17289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51849 and 51867. The biggest common factor number is the GCF number.
So the greatest common factor 51849 and 51867 is 9.

Also check out the Least Common Multiple of 51849 and 51867