What is the Greatest Common Factor of 15698 and 15710?

Greatest common factor (GCF) of 15698 and 15710 is 2.

GCF(15698,15710) = 2

We will now calculate the prime factors of 15698 and 15710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15698 and 15710.

How to find the GCF of 15698 and 15710?

We will first find the prime factorization of 15698 and 15710. After we will calculate the factors of 15698 and 15710 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 15710

Prime factors of 15710 are 2, 5, 1571. Prime factorization of 15710 in exponential form is:

15710 = 2¹ × 5¹ × 1571¹

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 15710

List of positive integer factors of 15710 that divides 15698 without a remainder.

1, 2, 5, 10, 1571, 3142, 7855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15698 and 15710. The biggest common factor number is the GCF number.
So the greatest common factor 15698 and 15710 is 2.

Also check out the Least Common Multiple of 15698 and 15710