What is the Greatest Common Factor of 95836 and 95855?

Greatest common factor (GCF) of 95836 and 95855 is 19.

GCF(95836,95855) = 19

We will now calculate the prime factors of 95836 and 95855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95836 and 95855.

How to find the GCF of 95836 and 95855?

We will first find the prime factorization of 95836 and 95855. After we will calculate the factors of 95836 and 95855 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 95855

Prime factors of 95855 are 5, 19, 1009. Prime factorization of 95855 in exponential form is:

95855 = 5¹ × 19¹ × 1009¹

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 95855

List of positive integer factors of 95855 that divides 95836 without a remainder.

1, 5, 19, 95, 1009, 5045, 19171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95836 and 95855. The biggest common factor number is the GCF number.
So the greatest common factor 95836 and 95855 is 19.

Also check out the Least Common Multiple of 95836 and 95855