What is the Greatest Common Factor of 75784 and 75804?

Greatest common factor (GCF) of 75784 and 75804 is 4.

GCF(75784,75804) = 4

We will now calculate the prime factors of 75784 and 75804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75784 and 75804.

How to find the GCF of 75784 and 75804?

We will first find the prime factorization of 75784 and 75804. After we will calculate the factors of 75784 and 75804 and find the biggest common factor number .

Step-1: Prime Factorization of 75784

Prime factors of 75784 are 2, 9473. Prime factorization of 75784 in exponential form is:

75784 = 2³ × 9473¹

Step-2: Prime Factorization of 75804

Prime factors of 75804 are 2, 3, 6317. Prime factorization of 75804 in exponential form is:

75804 = 2² × 3¹ × 6317¹

Step-3: Factors of 75784

List of positive integer factors of 75784 that divides 75784 without a remainder.

1, 2, 4, 8, 9473, 18946, 37892

Step-4: Factors of 75804

List of positive integer factors of 75804 that divides 75784 without a remainder.

1, 2, 3, 4, 6, 12, 6317, 12634, 18951, 25268, 37902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75784 and 75804. The biggest common factor number is the GCF number.
So the greatest common factor 75784 and 75804 is 4.

Also check out the Least Common Multiple of 75784 and 75804