What is the Greatest Common Factor of 75834 and 75850?

Greatest common factor (GCF) of 75834 and 75850 is 2.

GCF(75834,75850) = 2

We will now calculate the prime factors of 75834 and 75850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75834 and 75850.

How to find the GCF of 75834 and 75850?

We will first find the prime factorization of 75834 and 75850. After we will calculate the factors of 75834 and 75850 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 75850

Prime factors of 75850 are 2, 5, 37, 41. Prime factorization of 75850 in exponential form is:

75850 = 2¹ × 5² × 37¹ × 41¹

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 75850

List of positive integer factors of 75850 that divides 75834 without a remainder.

1, 2, 5, 10, 25, 37, 41, 50, 74, 82, 185, 205, 370, 410, 925, 1025, 1517, 1850, 2050, 3034, 7585, 15170, 37925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75834 and 75850. The biggest common factor number is the GCF number.
So the greatest common factor 75834 and 75850 is 2.

Also check out the Least Common Multiple of 75834 and 75850