What is the Greatest Common Factor of 47136 and 47148?

Greatest common factor (GCF) of 47136 and 47148 is 12.

GCF(47136,47148) = 12

We will now calculate the prime factors of 47136 and 47148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47136 and 47148.

How to find the GCF of 47136 and 47148?

We will first find the prime factorization of 47136 and 47148. After we will calculate the factors of 47136 and 47148 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 47148

Prime factors of 47148 are 2, 3, 3929. Prime factorization of 47148 in exponential form is:

47148 = 2² × 3¹ × 3929¹

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 47148

List of positive integer factors of 47148 that divides 47136 without a remainder.

1, 2, 3, 4, 6, 12, 3929, 7858, 11787, 15716, 23574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47136 and 47148. The biggest common factor number is the GCF number.
So the greatest common factor 47136 and 47148 is 12.

Also check out the Least Common Multiple of 47136 and 47148