What is the Greatest Common Factor of 51878 and 51896?

Greatest common factor (GCF) of 51878 and 51896 is 2.

GCF(51878,51896) = 2

We will now calculate the prime factors of 51878 and 51896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51878 and 51896.

How to find the GCF of 51878 and 51896?

We will first find the prime factorization of 51878 and 51896. After we will calculate the factors of 51878 and 51896 and find the biggest common factor number .

Step-1: Prime Factorization of 51878

Prime factors of 51878 are 2, 25939. Prime factorization of 51878 in exponential form is:

51878 = 2¹ × 25939¹

Step-2: Prime Factorization of 51896

Prime factors of 51896 are 2, 13, 499. Prime factorization of 51896 in exponential form is:

51896 = 2³ × 13¹ × 499¹

Step-3: Factors of 51878

List of positive integer factors of 51878 that divides 51878 without a remainder.

1, 2, 25939

Step-4: Factors of 51896

List of positive integer factors of 51896 that divides 51878 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 499, 998, 1996, 3992, 6487, 12974, 25948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51878 and 51896. The biggest common factor number is the GCF number.
So the greatest common factor 51878 and 51896 is 2.

Also check out the Least Common Multiple of 51878 and 51896