What is the Greatest Common Factor of 75834 and 75849?

Greatest common factor (GCF) of 75834 and 75849 is 3.

GCF(75834,75849) = 3

We will now calculate the prime factors of 75834 and 75849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75834 and 75849.

How to find the GCF of 75834 and 75849?

We will first find the prime factorization of 75834 and 75849. After we will calculate the factors of 75834 and 75849 and find the biggest common factor number .

Step-1: Prime Factorization of 75834

Prime factors of 75834 are 2, 3, 11, 383. Prime factorization of 75834 in exponential form is:

75834 = 2¹ × 3² × 11¹ × 383¹

Step-2: 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-3: Factors of 75834

List of positive integer factors of 75834 that divides 75834 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 383, 766, 1149, 2298, 3447, 4213, 6894, 8426, 12639, 25278, 37917

Step-4: Factors of 75849

List of positive integer factors of 75849 that divides 75834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75834 and 75849. The biggest common factor number is the GCF number.
So the greatest common factor 75834 and 75849 is 3.

Also check out the Least Common Multiple of 75834 and 75849