What is the Greatest Common Factor of 47874 and 47883?

Greatest common factor (GCF) of 47874 and 47883 is 3.

GCF(47874,47883) = 3

We will now calculate the prime factors of 47874 and 47883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47874 and 47883.

How to find the GCF of 47874 and 47883?

We will first find the prime factorization of 47874 and 47883. After we will calculate the factors of 47874 and 47883 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47883

Prime factors of 47883 are 3, 11, 1451. Prime factorization of 47883 in exponential form is:

47883 = 3¹ × 11¹ × 1451¹

Step-3: Factors of 47874

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

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

Step-4: Factors of 47883

List of positive integer factors of 47883 that divides 47874 without a remainder.

1, 3, 11, 33, 1451, 4353, 15961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47874 and 47883. The biggest common factor number is the GCF number.
So the greatest common factor 47874 and 47883 is 3.

Also check out the Least Common Multiple of 47874 and 47883