What is the Greatest Common Factor of 49910 and 49923?

Greatest common factor (GCF) of 49910 and 49923 is 1.

GCF(49910,49923) = 1

We will now calculate the prime factors of 49910 and 49923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49910 and 49923.

How to find the GCF of 49910 and 49923?

We will first find the prime factorization of 49910 and 49923. After we will calculate the factors of 49910 and 49923 and find the biggest common factor number .

Step-1: Prime Factorization of 49910

Prime factors of 49910 are 2, 5, 7, 23, 31. Prime factorization of 49910 in exponential form is:

49910 = 2¹ × 5¹ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 49923

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

49923 = 3³ × 43²

Step-3: Factors of 49910

List of positive integer factors of 49910 that divides 49910 without a remainder.

1, 2, 5, 7, 10, 14, 23, 31, 35, 46, 62, 70, 115, 155, 161, 217, 230, 310, 322, 434, 713, 805, 1085, 1426, 1610, 2170, 3565, 4991, 7130, 9982, 24955

Step-4: Factors of 49923

List of positive integer factors of 49923 that divides 49910 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49910 and 49923. The biggest common factor number is the GCF number.
So the greatest common factor 49910 and 49923 is 1.

Also check out the Least Common Multiple of 49910 and 49923