What is the Greatest Common Factor of 15684 and 15688?

Greatest common factor (GCF) of 15684 and 15688 is 4.

GCF(15684,15688) = 4

We will now calculate the prime factors of 15684 and 15688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15684 and 15688.

How to find the GCF of 15684 and 15688?

We will first find the prime factorization of 15684 and 15688. After we will calculate the factors of 15684 and 15688 and find the biggest common factor number .

Step-1: Prime Factorization of 15684

Prime factors of 15684 are 2, 3, 1307. Prime factorization of 15684 in exponential form is:

15684 = 2² × 3¹ × 1307¹

Step-2: Prime Factorization of 15688

Prime factors of 15688 are 2, 37, 53. Prime factorization of 15688 in exponential form is:

15688 = 2³ × 37¹ × 53¹

Step-3: Factors of 15684

List of positive integer factors of 15684 that divides 15684 without a remainder.

1, 2, 3, 4, 6, 12, 1307, 2614, 3921, 5228, 7842

Step-4: Factors of 15688

List of positive integer factors of 15688 that divides 15684 without a remainder.

1, 2, 4, 8, 37, 53, 74, 106, 148, 212, 296, 424, 1961, 3922, 7844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15684 and 15688. The biggest common factor number is the GCF number.
So the greatest common factor 15684 and 15688 is 4.

Also check out the Least Common Multiple of 15684 and 15688