What is the Greatest Common Factor of 47248 and 47252?

Greatest common factor (GCF) of 47248 and 47252 is 4.

GCF(47248,47252) = 4

We will now calculate the prime factors of 47248 and 47252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47248 and 47252.

How to find the GCF of 47248 and 47252?

We will first find the prime factorization of 47248 and 47252. After we will calculate the factors of 47248 and 47252 and find the biggest common factor number .

Step-1: Prime Factorization of 47248

Prime factors of 47248 are 2, 2953. Prime factorization of 47248 in exponential form is:

47248 = 2⁴ × 2953¹

Step-2: Prime Factorization of 47252

Prime factors of 47252 are 2, 11813. Prime factorization of 47252 in exponential form is:

47252 = 2² × 11813¹

Step-3: Factors of 47248

List of positive integer factors of 47248 that divides 47248 without a remainder.

1, 2, 4, 8, 16, 2953, 5906, 11812, 23624

Step-4: Factors of 47252

List of positive integer factors of 47252 that divides 47248 without a remainder.

1, 2, 4, 11813, 23626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47248 and 47252. The biggest common factor number is the GCF number.
So the greatest common factor 47248 and 47252 is 4.

Also check out the Least Common Multiple of 47248 and 47252