What is the Greatest Common Factor of 47666 and 47684?

Greatest common factor (GCF) of 47666 and 47684 is 2.

GCF(47666,47684) = 2

We will now calculate the prime factors of 47666 and 47684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47666 and 47684.

How to find the GCF of 47666 and 47684?

We will first find the prime factorization of 47666 and 47684. After we will calculate the factors of 47666 and 47684 and find the biggest common factor number .

Step-1: Prime Factorization of 47666

Prime factors of 47666 are 2, 23833. Prime factorization of 47666 in exponential form is:

47666 = 2¹ × 23833¹

Step-2: Prime Factorization of 47684

Prime factors of 47684 are 2, 7, 13, 131. Prime factorization of 47684 in exponential form is:

47684 = 2² × 7¹ × 13¹ × 131¹

Step-3: Factors of 47666

List of positive integer factors of 47666 that divides 47666 without a remainder.

1, 2, 23833

Step-4: Factors of 47684

List of positive integer factors of 47684 that divides 47666 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 131, 182, 262, 364, 524, 917, 1703, 1834, 3406, 3668, 6812, 11921, 23842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47666 and 47684. The biggest common factor number is the GCF number.
So the greatest common factor 47666 and 47684 is 2.

Also check out the Least Common Multiple of 47666 and 47684