What is the Greatest Common Factor of 47556 and 47576?

Greatest common factor (GCF) of 47556 and 47576 is 4.

GCF(47556,47576) = 4

We will now calculate the prime factors of 47556 and 47576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47556 and 47576.

How to find the GCF of 47556 and 47576?

We will first find the prime factorization of 47556 and 47576. After we will calculate the factors of 47556 and 47576 and find the biggest common factor number .

Step-1: Prime Factorization of 47556

Prime factors of 47556 are 2, 3, 1321. Prime factorization of 47556 in exponential form is:

47556 = 2² × 3² × 1321¹

Step-2: Prime Factorization of 47576

Prime factors of 47576 are 2, 19, 313. Prime factorization of 47576 in exponential form is:

47576 = 2³ × 19¹ × 313¹

Step-3: Factors of 47556

List of positive integer factors of 47556 that divides 47556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1321, 2642, 3963, 5284, 7926, 11889, 15852, 23778

Step-4: Factors of 47576

List of positive integer factors of 47576 that divides 47556 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 313, 626, 1252, 2504, 5947, 11894, 23788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47556 and 47576. The biggest common factor number is the GCF number.
So the greatest common factor 47556 and 47576 is 4.

Also check out the Least Common Multiple of 47556 and 47576