What is the Greatest Common Factor of 95825 and 95829?

Greatest common factor (GCF) of 95825 and 95829 is 1.

GCF(95825,95829) = 1

We will now calculate the prime factors of 95825 and 95829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95825 and 95829.

How to find the GCF of 95825 and 95829?

We will first find the prime factorization of 95825 and 95829. After we will calculate the factors of 95825 and 95829 and find the biggest common factor number .

Step-1: Prime Factorization of 95825

Prime factors of 95825 are 5, 3833. Prime factorization of 95825 in exponential form is:

95825 = 5² × 3833¹

Step-2: Prime Factorization of 95829

Prime factors of 95829 are 3, 17, 1879. Prime factorization of 95829 in exponential form is:

95829 = 3¹ × 17¹ × 1879¹

Step-3: Factors of 95825

List of positive integer factors of 95825 that divides 95825 without a remainder.

1, 5, 25, 3833, 19165

Step-4: Factors of 95829

List of positive integer factors of 95829 that divides 95825 without a remainder.

1, 3, 17, 51, 1879, 5637, 31943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95825 and 95829. The biggest common factor number is the GCF number.
So the greatest common factor 95825 and 95829 is 1.

Also check out the Least Common Multiple of 95825 and 95829