What is the Greatest Common Factor of 47116 and 47128?

Greatest common factor (GCF) of 47116 and 47128 is 4.

GCF(47116,47128) = 4

We will now calculate the prime factors of 47116 and 47128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47116 and 47128.

How to find the GCF of 47116 and 47128?

We will first find the prime factorization of 47116 and 47128. After we will calculate the factors of 47116 and 47128 and find the biggest common factor number .

Step-1: Prime Factorization of 47116

Prime factors of 47116 are 2, 11779. Prime factorization of 47116 in exponential form is:

47116 = 2² × 11779¹

Step-2: Prime Factorization of 47128

Prime factors of 47128 are 2, 43, 137. Prime factorization of 47128 in exponential form is:

47128 = 2³ × 43¹ × 137¹

Step-3: Factors of 47116

List of positive integer factors of 47116 that divides 47116 without a remainder.

1, 2, 4, 11779, 23558

Step-4: Factors of 47128

List of positive integer factors of 47128 that divides 47116 without a remainder.

1, 2, 4, 8, 43, 86, 137, 172, 274, 344, 548, 1096, 5891, 11782, 23564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47116 and 47128. The biggest common factor number is the GCF number.
So the greatest common factor 47116 and 47128 is 4.

Also check out the Least Common Multiple of 47116 and 47128