What is the Greatest Common Factor of 95855 and 95874?

Greatest common factor (GCF) of 95855 and 95874 is 19.

GCF(95855,95874) = 19

We will now calculate the prime factors of 95855 and 95874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95855 and 95874.

How to find the GCF of 95855 and 95874?

We will first find the prime factorization of 95855 and 95874. After we will calculate the factors of 95855 and 95874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95874

Prime factors of 95874 are 2, 3, 19, 29. Prime factorization of 95874 in exponential form is:

95874 = 2¹ × 3¹ × 19¹ × 29²

Step-3: Factors of 95855

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

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

Step-4: Factors of 95874

List of positive integer factors of 95874 that divides 95855 without a remainder.

1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 841, 1102, 1653, 1682, 2523, 3306, 5046, 15979, 31958, 47937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95855 and 95874. The biggest common factor number is the GCF number.
So the greatest common factor 95855 and 95874 is 19.

Also check out the Least Common Multiple of 95855 and 95874