What is the Greatest Common Factor of 47856 and 47870?

Greatest common factor (GCF) of 47856 and 47870 is 2.

GCF(47856,47870) = 2

We will now calculate the prime factors of 47856 and 47870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47856 and 47870.

How to find the GCF of 47856 and 47870?

We will first find the prime factorization of 47856 and 47870. After we will calculate the factors of 47856 and 47870 and find the biggest common factor number .

Step-1: Prime Factorization of 47856

Prime factors of 47856 are 2, 3, 997. Prime factorization of 47856 in exponential form is:

47856 = 2⁴ × 3¹ × 997¹

Step-2: Prime Factorization of 47870

Prime factors of 47870 are 2, 5, 4787. Prime factorization of 47870 in exponential form is:

47870 = 2¹ × 5¹ × 4787¹

Step-3: Factors of 47856

List of positive integer factors of 47856 that divides 47856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 997, 1994, 2991, 3988, 5982, 7976, 11964, 15952, 23928

Step-4: Factors of 47870

List of positive integer factors of 47870 that divides 47856 without a remainder.

1, 2, 5, 10, 4787, 9574, 23935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47856 and 47870. The biggest common factor number is the GCF number.
So the greatest common factor 47856 and 47870 is 2.

Also check out the Least Common Multiple of 47856 and 47870