What is the Greatest Common Factor of 49938 and 49945?

Greatest common factor (GCF) of 49938 and 49945 is 7.

GCF(49938,49945) = 7

We will now calculate the prime factors of 49938 and 49945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49938 and 49945.

How to find the GCF of 49938 and 49945?

We will first find the prime factorization of 49938 and 49945. After we will calculate the factors of 49938 and 49945 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 49945

Prime factors of 49945 are 5, 7, 1427. Prime factorization of 49945 in exponential form is:

49945 = 5¹ × 7¹ × 1427¹

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 49945

List of positive integer factors of 49945 that divides 49938 without a remainder.

1, 5, 7, 35, 1427, 7135, 9989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49938 and 49945. The biggest common factor number is the GCF number.
So the greatest common factor 49938 and 49945 is 7.

Also check out the Least Common Multiple of 49938 and 49945