What is the Greatest Common Factor of 49468 and 49484?

Greatest common factor (GCF) of 49468 and 49484 is 4.

GCF(49468,49484) = 4

We will now calculate the prime factors of 49468 and 49484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49468 and 49484.

How to find the GCF of 49468 and 49484?

We will first find the prime factorization of 49468 and 49484. After we will calculate the factors of 49468 and 49484 and find the biggest common factor number .

Step-1: Prime Factorization of 49468

Prime factors of 49468 are 2, 83, 149. Prime factorization of 49468 in exponential form is:

49468 = 2² × 83¹ × 149¹

Step-2: Prime Factorization of 49484

Prime factors of 49484 are 2, 89, 139. Prime factorization of 49484 in exponential form is:

49484 = 2² × 89¹ × 139¹

Step-3: Factors of 49468

List of positive integer factors of 49468 that divides 49468 without a remainder.

1, 2, 4, 83, 149, 166, 298, 332, 596, 12367, 24734

Step-4: Factors of 49484

List of positive integer factors of 49484 that divides 49468 without a remainder.

1, 2, 4, 89, 139, 178, 278, 356, 556, 12371, 24742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49468 and 49484. The biggest common factor number is the GCF number.
So the greatest common factor 49468 and 49484 is 4.

Also check out the Least Common Multiple of 49468 and 49484