What is the Greatest Common Factor of 95836 and 95849?

Greatest common factor (GCF) of 95836 and 95849 is 13.

GCF(95836,95849) = 13

We will now calculate the prime factors of 95836 and 95849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95836 and 95849.

How to find the GCF of 95836 and 95849?

We will first find the prime factorization of 95836 and 95849. After we will calculate the factors of 95836 and 95849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95849

Prime factors of 95849 are 13, 73, 101. Prime factorization of 95849 in exponential form is:

95849 = 13¹ × 73¹ × 101¹

Step-3: Factors of 95836

List of positive integer factors of 95836 that divides 95836 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

Step-4: Factors of 95849

List of positive integer factors of 95849 that divides 95836 without a remainder.

1, 13, 73, 101, 949, 1313, 7373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95836 and 95849. The biggest common factor number is the GCF number.
So the greatest common factor 95836 and 95849 is 13.

Also check out the Least Common Multiple of 95836 and 95849