What is the Greatest Common Factor of 95825 and 95836?

Greatest common factor (GCF) of 95825 and 95836 is 1.

GCF(95825,95836) = 1

We will now calculate the prime factors of 95825 and 95836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95825 and 95836.

How to find the GCF of 95825 and 95836?

We will first find the prime factorization of 95825 and 95836. After we will calculate the factors of 95825 and 95836 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 95836

Prime factors of 95836 are 2, 13, 19, 97. Prime factorization of 95836 in exponential form is:

95836 = 2² × 13¹ × 19¹ × 97¹

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 95836

List of positive integer factors of 95836 that divides 95825 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 97, 194, 247, 388, 494, 988, 1261, 1843, 2522, 3686, 5044, 7372, 23959, 47918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95825 and 95836. The biggest common factor number is the GCF number.
So the greatest common factor 95825 and 95836 is 1.

Also check out the Least Common Multiple of 95825 and 95836