What is the Greatest Common Factor of 15698 and 15704?

Greatest common factor (GCF) of 15698 and 15704 is 2.

GCF(15698,15704) = 2

We will now calculate the prime factors of 15698 and 15704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15698 and 15704.

How to find the GCF of 15698 and 15704?

We will first find the prime factorization of 15698 and 15704. After we will calculate the factors of 15698 and 15704 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15704

Prime factors of 15704 are 2, 13, 151. Prime factorization of 15704 in exponential form is:

15704 = 2³ × 13¹ × 151¹

Step-3: Factors of 15698

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

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

Step-4: Factors of 15704

List of positive integer factors of 15704 that divides 15698 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 151, 302, 604, 1208, 1963, 3926, 7852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15698 and 15704. The biggest common factor number is the GCF number.
So the greatest common factor 15698 and 15704 is 2.

Also check out the Least Common Multiple of 15698 and 15704