What is the Greatest Common Factor of 49924 and 49938?

Greatest common factor (GCF) of 49924 and 49938 is 14.

GCF(49924,49938) = 14

We will now calculate the prime factors of 49924 and 49938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49924 and 49938.

How to find the GCF of 49924 and 49938?

We will first find the prime factorization of 49924 and 49938. After we will calculate the factors of 49924 and 49938 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49938

Prime factors of 49938 are 2, 3, 7, 29, 41. Prime factorization of 49938 in exponential form is:

49938 = 2¹ × 3¹ × 7¹ × 29¹ × 41¹

Step-3: Factors of 49924

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

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

Step-4: Factors of 49938

List of positive integer factors of 49938 that divides 49924 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 41, 42, 58, 82, 87, 123, 174, 203, 246, 287, 406, 574, 609, 861, 1189, 1218, 1722, 2378, 3567, 7134, 8323, 16646, 24969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49924 and 49938. The biggest common factor number is the GCF number.
So the greatest common factor 49924 and 49938 is 14.

Also check out the Least Common Multiple of 49924 and 49938