What is the Greatest Common Factor of 47856 and 47874?

Greatest common factor (GCF) of 47856 and 47874 is 6.

GCF(47856,47874) = 6

We will now calculate the prime factors of 47856 and 47874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47856 and 47874.

How to find the GCF of 47856 and 47874?

We will first find the prime factorization of 47856 and 47874. After we will calculate the factors of 47856 and 47874 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 47874

Prime factors of 47874 are 2, 3, 79, 101. Prime factorization of 47874 in exponential form is:

47874 = 2¹ × 3¹ × 79¹ × 101¹

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 47874

List of positive integer factors of 47874 that divides 47856 without a remainder.

1, 2, 3, 6, 79, 101, 158, 202, 237, 303, 474, 606, 7979, 15958, 23937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47856 and 47874. The biggest common factor number is the GCF number.
So the greatest common factor 47856 and 47874 is 6.

Also check out the Least Common Multiple of 47856 and 47874