What is the Greatest Common Factor of 95829 and 95846?

Greatest common factor (GCF) of 95829 and 95846 is 17.

GCF(95829,95846) = 17

We will now calculate the prime factors of 95829 and 95846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95829 and 95846.

How to find the GCF of 95829 and 95846?

We will first find the prime factorization of 95829 and 95846. After we will calculate the factors of 95829 and 95846 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 95846

Prime factors of 95846 are 2, 17, 2819. Prime factorization of 95846 in exponential form is:

95846 = 2¹ × 17¹ × 2819¹

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 95846

List of positive integer factors of 95846 that divides 95829 without a remainder.

1, 2, 17, 34, 2819, 5638, 47923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95829 and 95846. The biggest common factor number is the GCF number.
So the greatest common factor 95829 and 95846 is 17.

Also check out the Least Common Multiple of 95829 and 95846