What is the Greatest Common Factor of 47548 and 47564?

Greatest common factor (GCF) of 47548 and 47564 is 4.

GCF(47548,47564) = 4

We will now calculate the prime factors of 47548 and 47564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47548 and 47564.

How to find the GCF of 47548 and 47564?

We will first find the prime factorization of 47548 and 47564. After we will calculate the factors of 47548 and 47564 and find the biggest common factor number .

Step-1: Prime Factorization of 47548

Prime factors of 47548 are 2, 11887. Prime factorization of 47548 in exponential form is:

47548 = 2² × 11887¹

Step-2: Prime Factorization of 47564

Prime factors of 47564 are 2, 11, 23, 47. Prime factorization of 47564 in exponential form is:

47564 = 2² × 11¹ × 23¹ × 47¹

Step-3: Factors of 47548

List of positive integer factors of 47548 that divides 47548 without a remainder.

1, 2, 4, 11887, 23774

Step-4: Factors of 47564

List of positive integer factors of 47564 that divides 47548 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 47, 92, 94, 188, 253, 506, 517, 1012, 1034, 1081, 2068, 2162, 4324, 11891, 23782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47548 and 47564. The biggest common factor number is the GCF number.
So the greatest common factor 47548 and 47564 is 4.

Also check out the Least Common Multiple of 47548 and 47564