What is the Greatest Common Factor of 95829 and 95841?

Greatest common factor (GCF) of 95829 and 95841 is 3.

GCF(95829,95841) = 3

We will now calculate the prime factors of 95829 and 95841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95829 and 95841.

How to find the GCF of 95829 and 95841?

We will first find the prime factorization of 95829 and 95841. After we will calculate the factors of 95829 and 95841 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95841

Prime factors of 95841 are 3, 23, 463. Prime factorization of 95841 in exponential form is:

95841 = 3² × 23¹ × 463¹

Step-3: Factors of 95829

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

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

Step-4: Factors of 95841

List of positive integer factors of 95841 that divides 95829 without a remainder.

1, 3, 9, 23, 69, 207, 463, 1389, 4167, 10649, 31947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95829 and 95841. The biggest common factor number is the GCF number.
So the greatest common factor 95829 and 95841 is 3.

Also check out the Least Common Multiple of 95829 and 95841