What is the Greatest Common Factor of 49923 and 49929?

Greatest common factor (GCF) of 49923 and 49929 is 3.

GCF(49923,49929) = 3

We will now calculate the prime factors of 49923 and 49929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49923 and 49929.

How to find the GCF of 49923 and 49929?

We will first find the prime factorization of 49923 and 49929. After we will calculate the factors of 49923 and 49929 and find the biggest common factor number .

Step-1: Prime Factorization of 49923

Prime factors of 49923 are 3, 43. Prime factorization of 49923 in exponential form is:

49923 = 3³ × 43²

Step-2: Prime Factorization of 49929

Prime factors of 49929 are 3, 11, 17, 89. Prime factorization of 49929 in exponential form is:

49929 = 3¹ × 11¹ × 17¹ × 89¹

Step-3: Factors of 49923

List of positive integer factors of 49923 that divides 49923 without a remainder.

1, 3, 9, 27, 43, 129, 387, 1161, 1849, 5547, 16641

Step-4: Factors of 49929

List of positive integer factors of 49929 that divides 49923 without a remainder.

1, 3, 11, 17, 33, 51, 89, 187, 267, 561, 979, 1513, 2937, 4539, 16643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49923 and 49929. The biggest common factor number is the GCF number.
So the greatest common factor 49923 and 49929 is 3.

Also check out the Least Common Multiple of 49923 and 49929