What is the Greatest Common Factor of 47684 and 47698?

Greatest common factor (GCF) of 47684 and 47698 is 14.

GCF(47684,47698) = 14

We will now calculate the prime factors of 47684 and 47698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47684 and 47698.

How to find the GCF of 47684 and 47698?

We will first find the prime factorization of 47684 and 47698. After we will calculate the factors of 47684 and 47698 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47698

Prime factors of 47698 are 2, 7, 3407. Prime factorization of 47698 in exponential form is:

47698 = 2¹ × 7¹ × 3407¹

Step-3: Factors of 47684

List of positive integer factors of 47684 that divides 47684 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

Step-4: Factors of 47698

List of positive integer factors of 47698 that divides 47684 without a remainder.

1, 2, 7, 14, 3407, 6814, 23849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47684 and 47698. The biggest common factor number is the GCF number.
So the greatest common factor 47684 and 47698 is 14.

Also check out the Least Common Multiple of 47684 and 47698