What is the Greatest Common Factor of 49328 and 49348?

Greatest common factor (GCF) of 49328 and 49348 is 4.

GCF(49328,49348) = 4

We will now calculate the prime factors of 49328 and 49348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49328 and 49348.

How to find the GCF of 49328 and 49348?

We will first find the prime factorization of 49328 and 49348. After we will calculate the factors of 49328 and 49348 and find the biggest common factor number .

Step-1: Prime Factorization of 49328

Prime factors of 49328 are 2, 3083. Prime factorization of 49328 in exponential form is:

49328 = 2⁴ × 3083¹

Step-2: Prime Factorization of 49348

Prime factors of 49348 are 2, 13, 73. Prime factorization of 49348 in exponential form is:

49348 = 2² × 13² × 73¹

Step-3: Factors of 49328

List of positive integer factors of 49328 that divides 49328 without a remainder.

1, 2, 4, 8, 16, 3083, 6166, 12332, 24664

Step-4: Factors of 49348

List of positive integer factors of 49348 that divides 49328 without a remainder.

1, 2, 4, 13, 26, 52, 73, 146, 169, 292, 338, 676, 949, 1898, 3796, 12337, 24674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49328 and 49348. The biggest common factor number is the GCF number.
So the greatest common factor 49328 and 49348 is 4.

Also check out the Least Common Multiple of 49328 and 49348