What is the Greatest Common Factor of 75849 and 75861?

Greatest common factor (GCF) of 75849 and 75861 is 3.

GCF(75849,75861) = 3

We will now calculate the prime factors of 75849 and 75861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75849 and 75861.

How to find the GCF of 75849 and 75861?

We will first find the prime factorization of 75849 and 75861. After we will calculate the factors of 75849 and 75861 and find the biggest common factor number .

Step-1: Prime Factorization of 75849

Prime factors of 75849 are 3, 131, 193. Prime factorization of 75849 in exponential form is:

75849 = 3¹ × 131¹ × 193¹

Step-2: Prime Factorization of 75861

Prime factors of 75861 are 3, 8429. Prime factorization of 75861 in exponential form is:

75861 = 3² × 8429¹

Step-3: Factors of 75849

List of positive integer factors of 75849 that divides 75849 without a remainder.

1, 3, 131, 193, 393, 579, 25283

Step-4: Factors of 75861

List of positive integer factors of 75861 that divides 75849 without a remainder.

1, 3, 9, 8429, 25287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75849 and 75861. The biggest common factor number is the GCF number.
So the greatest common factor 75849 and 75861 is 3.

Also check out the Least Common Multiple of 75849 and 75861