What is the Greatest Common Factor of 15664 and 15684?

Greatest common factor (GCF) of 15664 and 15684 is 4.

GCF(15664,15684) = 4

We will now calculate the prime factors of 15664 and 15684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15664 and 15684.

How to find the GCF of 15664 and 15684?

We will first find the prime factorization of 15664 and 15684. After we will calculate the factors of 15664 and 15684 and find the biggest common factor number .

Step-1: Prime Factorization of 15664

Prime factors of 15664 are 2, 11, 89. Prime factorization of 15664 in exponential form is:

15664 = 2⁴ × 11¹ × 89¹

Step-2: 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-3: Factors of 15664

List of positive integer factors of 15664 that divides 15664 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 89, 176, 178, 356, 712, 979, 1424, 1958, 3916, 7832

Step-4: Factors of 15684

List of positive integer factors of 15684 that divides 15664 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15664 and 15684. The biggest common factor number is the GCF number.
So the greatest common factor 15664 and 15684 is 4.

Also check out the Least Common Multiple of 15664 and 15684