What is the Greatest Common Factor of 47671 and 47684?

Greatest common factor (GCF) of 47671 and 47684 is 13.

GCF(47671,47684) = 13

We will now calculate the prime factors of 47671 and 47684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47671 and 47684.

How to find the GCF of 47671 and 47684?

We will first find the prime factorization of 47671 and 47684. After we will calculate the factors of 47671 and 47684 and find the biggest common factor number .

Step-1: Prime Factorization of 47671

Prime factors of 47671 are 13, 19, 193. Prime factorization of 47671 in exponential form is:

47671 = 13¹ × 19¹ × 193¹

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 47671

List of positive integer factors of 47671 that divides 47671 without a remainder.

1, 13, 19, 193, 247, 2509, 3667

Step-4: Factors of 47684

List of positive integer factors of 47684 that divides 47671 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 47671 and 47684. The biggest common factor number is the GCF number.
So the greatest common factor 47671 and 47684 is 13.

Also check out the Least Common Multiple of 47671 and 47684