What is the Greatest Common Factor of 15684 and 15698?

Greatest common factor (GCF) of 15684 and 15698 is 2.

GCF(15684,15698) = 2

We will now calculate the prime factors of 15684 and 15698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15684 and 15698.

How to find the GCF of 15684 and 15698?

We will first find the prime factorization of 15684 and 15698. After we will calculate the factors of 15684 and 15698 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 15698

Prime factors of 15698 are 2, 47, 167. Prime factorization of 15698 in exponential form is:

15698 = 2¹ × 47¹ × 167¹

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 15698

List of positive integer factors of 15698 that divides 15684 without a remainder.

1, 2, 47, 94, 167, 334, 7849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15684 and 15698. The biggest common factor number is the GCF number.
So the greatest common factor 15684 and 15698 is 2.

Also check out the Least Common Multiple of 15684 and 15698