What is the Greatest Common Factor of 35698 and 35716?

Greatest common factor (GCF) of 35698 and 35716 is 2.

GCF(35698,35716) = 2

We will now calculate the prime factors of 35698 and 35716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35698 and 35716.

How to find the GCF of 35698 and 35716?

We will first find the prime factorization of 35698 and 35716. After we will calculate the factors of 35698 and 35716 and find the biggest common factor number .

Step-1: Prime Factorization of 35698

Prime factors of 35698 are 2, 13, 1373. Prime factorization of 35698 in exponential form is:

35698 = 2¹ × 13¹ × 1373¹

Step-2: Prime Factorization of 35716

Prime factors of 35716 are 2, 8929. Prime factorization of 35716 in exponential form is:

35716 = 2² × 8929¹

Step-3: Factors of 35698

List of positive integer factors of 35698 that divides 35698 without a remainder.

1, 2, 13, 26, 1373, 2746, 17849

Step-4: Factors of 35716

List of positive integer factors of 35716 that divides 35698 without a remainder.

1, 2, 4, 8929, 17858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35698 and 35716. The biggest common factor number is the GCF number.
So the greatest common factor 35698 and 35716 is 2.

Also check out the Least Common Multiple of 35698 and 35716