What is the Greatest Common Factor of 49881 and 49894?

Greatest common factor (GCF) of 49881 and 49894 is 13.

GCF(49881,49894) = 13

We will now calculate the prime factors of 49881 and 49894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49881 and 49894.

How to find the GCF of 49881 and 49894?

We will first find the prime factorization of 49881 and 49894. After we will calculate the factors of 49881 and 49894 and find the biggest common factor number .

Step-1: Prime Factorization of 49881

Prime factors of 49881 are 3, 13, 1279. Prime factorization of 49881 in exponential form is:

49881 = 3¹ × 13¹ × 1279¹

Step-2: Prime Factorization of 49894

Prime factors of 49894 are 2, 13, 19, 101. Prime factorization of 49894 in exponential form is:

49894 = 2¹ × 13¹ × 19¹ × 101¹

Step-3: Factors of 49881

List of positive integer factors of 49881 that divides 49881 without a remainder.

1, 3, 13, 39, 1279, 3837, 16627

Step-4: Factors of 49894

List of positive integer factors of 49894 that divides 49881 without a remainder.

1, 2, 13, 19, 26, 38, 101, 202, 247, 494, 1313, 1919, 2626, 3838, 24947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49881 and 49894. The biggest common factor number is the GCF number.
So the greatest common factor 49881 and 49894 is 13.

Also check out the Least Common Multiple of 49881 and 49894