What is the Greatest Common Factor of 47136 and 47144?

Greatest common factor (GCF) of 47136 and 47144 is 8.

GCF(47136,47144) = 8

We will now calculate the prime factors of 47136 and 47144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47136 and 47144.

How to find the GCF of 47136 and 47144?

We will first find the prime factorization of 47136 and 47144. After we will calculate the factors of 47136 and 47144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47144

Prime factors of 47144 are 2, 71, 83. Prime factorization of 47144 in exponential form is:

47144 = 2³ × 71¹ × 83¹

Step-3: Factors of 47136

List of positive integer factors of 47136 that divides 47136 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

Step-4: Factors of 47144

List of positive integer factors of 47144 that divides 47136 without a remainder.

1, 2, 4, 8, 71, 83, 142, 166, 284, 332, 568, 664, 5893, 11786, 23572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47136 and 47144. The biggest common factor number is the GCF number.
So the greatest common factor 47136 and 47144 is 8.

Also check out the Least Common Multiple of 47136 and 47144