What is the Greatest Common Factor of 49938 and 49953?

Greatest common factor (GCF) of 49938 and 49953 is 3.

GCF(49938,49953) = 3

We will now calculate the prime factors of 49938 and 49953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49938 and 49953.

How to find the GCF of 49938 and 49953?

We will first find the prime factorization of 49938 and 49953. After we will calculate the factors of 49938 and 49953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49953

Prime factors of 49953 are 3, 16651. Prime factorization of 49953 in exponential form is:

49953 = 3¹ × 16651¹

Step-3: Factors of 49938

List of positive integer factors of 49938 that divides 49938 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

Step-4: Factors of 49953

List of positive integer factors of 49953 that divides 49938 without a remainder.

1, 3, 16651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49938 and 49953. The biggest common factor number is the GCF number.
So the greatest common factor 49938 and 49953 is 3.

Also check out the Least Common Multiple of 49938 and 49953