What is the Greatest Common Factor of 75834 and 75843?

Greatest common factor (GCF) of 75834 and 75843 is 9.

GCF(75834,75843) = 9

We will now calculate the prime factors of 75834 and 75843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75834 and 75843.

How to find the GCF of 75834 and 75843?

We will first find the prime factorization of 75834 and 75843. After we will calculate the factors of 75834 and 75843 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 75843

Prime factors of 75843 are 3, 53. Prime factorization of 75843 in exponential form is:

75843 = 3³ × 53²

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 75843

List of positive integer factors of 75843 that divides 75834 without a remainder.

1, 3, 9, 27, 53, 159, 477, 1431, 2809, 8427, 25281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75834 and 75843. The biggest common factor number is the GCF number.
So the greatest common factor 75834 and 75843 is 9.

Also check out the Least Common Multiple of 75834 and 75843