What is the Greatest Common Factor of 49824 and 49839?

Greatest common factor (GCF) of 49824 and 49839 is 3.

GCF(49824,49839) = 3

We will now calculate the prime factors of 49824 and 49839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49824 and 49839.

How to find the GCF of 49824 and 49839?

We will first find the prime factorization of 49824 and 49839. After we will calculate the factors of 49824 and 49839 and find the biggest common factor number .

Step-1: Prime Factorization of 49824

Prime factors of 49824 are 2, 3, 173. Prime factorization of 49824 in exponential form is:

49824 = 2⁵ × 3² × 173¹

Step-2: Prime Factorization of 49839

Prime factors of 49839 are 3, 37, 449. Prime factorization of 49839 in exponential form is:

49839 = 3¹ × 37¹ × 449¹

Step-3: Factors of 49824

List of positive integer factors of 49824 that divides 49824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 173, 288, 346, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 5536, 6228, 8304, 12456, 16608, 24912

Step-4: Factors of 49839

List of positive integer factors of 49839 that divides 49824 without a remainder.

1, 3, 37, 111, 449, 1347, 16613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49824 and 49839. The biggest common factor number is the GCF number.
So the greatest common factor 49824 and 49839 is 3.

Also check out the Least Common Multiple of 49824 and 49839