What is the Greatest Common Factor of 51876 and 51887?

Greatest common factor (GCF) of 51876 and 51887 is 11.

GCF(51876,51887) = 11

We will now calculate the prime factors of 51876 and 51887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51876 and 51887.

How to find the GCF of 51876 and 51887?

We will first find the prime factorization of 51876 and 51887. After we will calculate the factors of 51876 and 51887 and find the biggest common factor number .

Step-1: Prime Factorization of 51876

Prime factors of 51876 are 2, 3, 11, 131. Prime factorization of 51876 in exponential form is:

51876 = 2² × 3² × 11¹ × 131¹

Step-2: Prime Factorization of 51887

Prime factors of 51887 are 11, 53, 89. Prime factorization of 51887 in exponential form is:

51887 = 11¹ × 53¹ × 89¹

Step-3: Factors of 51876

List of positive integer factors of 51876 that divides 51876 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 131, 132, 198, 262, 393, 396, 524, 786, 1179, 1441, 1572, 2358, 2882, 4323, 4716, 5764, 8646, 12969, 17292, 25938

Step-4: Factors of 51887

List of positive integer factors of 51887 that divides 51876 without a remainder.

1, 11, 53, 89, 583, 979, 4717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51876 and 51887. The biggest common factor number is the GCF number.
So the greatest common factor 51876 and 51887 is 11.

Also check out the Least Common Multiple of 51876 and 51887