What is the Greatest Common Factor of 47896 and 47904?

Greatest common factor (GCF) of 47896 and 47904 is 8.

GCF(47896,47904) = 8

We will now calculate the prime factors of 47896 and 47904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47896 and 47904.

How to find the GCF of 47896 and 47904?

We will first find the prime factorization of 47896 and 47904. After we will calculate the factors of 47896 and 47904 and find the biggest common factor number .

Step-1: Prime Factorization of 47896

Prime factors of 47896 are 2, 5987. Prime factorization of 47896 in exponential form is:

47896 = 2³ × 5987¹

Step-2: Prime Factorization of 47904

Prime factors of 47904 are 2, 3, 499. Prime factorization of 47904 in exponential form is:

47904 = 2⁵ × 3¹ × 499¹

Step-3: Factors of 47896

List of positive integer factors of 47896 that divides 47896 without a remainder.

1, 2, 4, 8, 5987, 11974, 23948

Step-4: Factors of 47904

List of positive integer factors of 47904 that divides 47896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976, 15968, 23952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47896 and 47904. The biggest common factor number is the GCF number.
So the greatest common factor 47896 and 47904 is 8.

Also check out the Least Common Multiple of 47896 and 47904