What is the Greatest Common Factor of 47148 and 47152?

Greatest common factor (GCF) of 47148 and 47152 is 4.

GCF(47148,47152) = 4

We will now calculate the prime factors of 47148 and 47152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47148 and 47152.

How to find the GCF of 47148 and 47152?

We will first find the prime factorization of 47148 and 47152. After we will calculate the factors of 47148 and 47152 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47152

Prime factors of 47152 are 2, 7, 421. Prime factorization of 47152 in exponential form is:

47152 = 2⁴ × 7¹ × 421¹

Step-3: Factors of 47148

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

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

Step-4: Factors of 47152

List of positive integer factors of 47152 that divides 47148 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 421, 842, 1684, 2947, 3368, 5894, 6736, 11788, 23576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47148 and 47152. The biggest common factor number is the GCF number.
So the greatest common factor 47148 and 47152 is 4.

Also check out the Least Common Multiple of 47148 and 47152