What is the Greatest Common Factor of 48999 and 49011?

Greatest common factor (GCF) of 48999 and 49011 is 3.

GCF(48999,49011) = 3

We will now calculate the prime factors of 48999 and 49011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48999 and 49011.

How to find the GCF of 48999 and 49011?

We will first find the prime factorization of 48999 and 49011. After we will calculate the factors of 48999 and 49011 and find the biggest common factor number .

Step-1: Prime Factorization of 48999

Prime factors of 48999 are 3, 16333. Prime factorization of 48999 in exponential form is:

48999 = 3¹ × 16333¹

Step-2: Prime Factorization of 49011

Prime factors of 49011 are 3, 17, 31. Prime factorization of 49011 in exponential form is:

49011 = 3¹ × 17¹ × 31²

Step-3: Factors of 48999

List of positive integer factors of 48999 that divides 48999 without a remainder.

1, 3, 16333

Step-4: Factors of 49011

List of positive integer factors of 49011 that divides 48999 without a remainder.

1, 3, 17, 31, 51, 93, 527, 961, 1581, 2883, 16337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48999 and 49011. The biggest common factor number is the GCF number.
So the greatest common factor 48999 and 49011 is 3.

Also check out the Least Common Multiple of 48999 and 49011