What is the Greatest Common Factor of 47874 and 47886?

Greatest common factor (GCF) of 47874 and 47886 is 6.

GCF(47874,47886) = 6

We will now calculate the prime factors of 47874 and 47886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47874 and 47886.

How to find the GCF of 47874 and 47886?

We will first find the prime factorization of 47874 and 47886. After we will calculate the factors of 47874 and 47886 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 47886

Prime factors of 47886 are 2, 3, 23, 347. Prime factorization of 47886 in exponential form is:

47886 = 2¹ × 3¹ × 23¹ × 347¹

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 47886

List of positive integer factors of 47886 that divides 47874 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 347, 694, 1041, 2082, 7981, 15962, 23943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47874 and 47886. The biggest common factor number is the GCF number.
So the greatest common factor 47874 and 47886 is 6.

Also check out the Least Common Multiple of 47874 and 47886