What is the Greatest Common Factor of 49863 and 49869?

Greatest common factor (GCF) of 49863 and 49869 is 3.

GCF(49863,49869) = 3

We will now calculate the prime factors of 49863 and 49869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49863 and 49869.

How to find the GCF of 49863 and 49869?

We will first find the prime factorization of 49863 and 49869. After we will calculate the factors of 49863 and 49869 and find the biggest common factor number .

Step-1: Prime Factorization of 49863

Prime factors of 49863 are 3, 11, 1511. Prime factorization of 49863 in exponential form is:

49863 = 3¹ × 11¹ × 1511¹

Step-2: Prime Factorization of 49869

Prime factors of 49869 are 3, 1847. Prime factorization of 49869 in exponential form is:

49869 = 3³ × 1847¹

Step-3: Factors of 49863

List of positive integer factors of 49863 that divides 49863 without a remainder.

1, 3, 11, 33, 1511, 4533, 16621

Step-4: Factors of 49869

List of positive integer factors of 49869 that divides 49863 without a remainder.

1, 3, 9, 27, 1847, 5541, 16623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49863 and 49869. The biggest common factor number is the GCF number.
So the greatest common factor 49863 and 49869 is 3.

Also check out the Least Common Multiple of 49863 and 49869