What is the Greatest Common Factor of 47116 and 47136?

Greatest common factor (GCF) of 47116 and 47136 is 4.

GCF(47116,47136) = 4

We will now calculate the prime factors of 47116 and 47136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47116 and 47136.

How to find the GCF of 47116 and 47136?

We will first find the prime factorization of 47116 and 47136. After we will calculate the factors of 47116 and 47136 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 47136

Prime factors of 47136 are 2, 3, 491. Prime factorization of 47136 in exponential form is:

47136 = 2⁵ × 3¹ × 491¹

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 47136

List of positive integer factors of 47136 that divides 47116 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47116 and 47136. The biggest common factor number is the GCF number.
So the greatest common factor 47116 and 47136 is 4.

Also check out the Least Common Multiple of 47116 and 47136