What is the Greatest Common Factor of 35716 and 35725?

Greatest common factor (GCF) of 35716 and 35725 is 1.

GCF(35716,35725) = 1

We will now calculate the prime factors of 35716 and 35725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35716 and 35725.

How to find the GCF of 35716 and 35725?

We will first find the prime factorization of 35716 and 35725. After we will calculate the factors of 35716 and 35725 and find the biggest common factor number .

Step-1: Prime Factorization of 35716

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

35716 = 2² × 8929¹

Step-2: Prime Factorization of 35725

Prime factors of 35725 are 5, 1429. Prime factorization of 35725 in exponential form is:

35725 = 5² × 1429¹

Step-3: Factors of 35716

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

1, 2, 4, 8929, 17858

Step-4: Factors of 35725

List of positive integer factors of 35725 that divides 35716 without a remainder.

1, 5, 25, 1429, 7145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35716 and 35725. The biggest common factor number is the GCF number.
So the greatest common factor 35716 and 35725 is 1.

Also check out the Least Common Multiple of 35716 and 35725