What is the Greatest Common Factor of 49910 and 49924?

Greatest common factor (GCF) of 49910 and 49924 is 14.

GCF(49910,49924) = 14

We will now calculate the prime factors of 49910 and 49924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49910 and 49924.

How to find the GCF of 49910 and 49924?

We will first find the prime factorization of 49910 and 49924. After we will calculate the factors of 49910 and 49924 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 49924

Prime factors of 49924 are 2, 7, 1783. Prime factorization of 49924 in exponential form is:

49924 = 2² × 7¹ × 1783¹

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 49924

List of positive integer factors of 49924 that divides 49910 without a remainder.

1, 2, 4, 7, 14, 28, 1783, 3566, 7132, 12481, 24962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49910 and 49924. The biggest common factor number is the GCF number.
So the greatest common factor 49910 and 49924 is 14.

Also check out the Least Common Multiple of 49910 and 49924