What is the Greatest Common Factor of 49887 and 49893?

Greatest common factor (GCF) of 49887 and 49893 is 3.

GCF(49887,49893) = 3

We will now calculate the prime factors of 49887 and 49893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49887 and 49893.

How to find the GCF of 49887 and 49893?

We will first find the prime factorization of 49887 and 49893. After we will calculate the factors of 49887 and 49893 and find the biggest common factor number .

Step-1: Prime Factorization of 49887

Prime factors of 49887 are 3, 23, 241. Prime factorization of 49887 in exponential form is:

49887 = 3² × 23¹ × 241¹

Step-2: Prime Factorization of 49893

Prime factors of 49893 are 3, 16631. Prime factorization of 49893 in exponential form is:

49893 = 3¹ × 16631¹

Step-3: Factors of 49887

List of positive integer factors of 49887 that divides 49887 without a remainder.

1, 3, 9, 23, 69, 207, 241, 723, 2169, 5543, 16629

Step-4: Factors of 49893

List of positive integer factors of 49893 that divides 49887 without a remainder.

1, 3, 16631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49887 and 49893. The biggest common factor number is the GCF number.
So the greatest common factor 49887 and 49893 is 3.

Also check out the Least Common Multiple of 49887 and 49893