What is the Greatest Common Factor of 76396 and 76404?

Greatest common factor (GCF) of 76396 and 76404 is 4.

GCF(76396,76404) = 4

We will now calculate the prime factors of 76396 and 76404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76396 and 76404.

How to find the GCF of 76396 and 76404?

We will first find the prime factorization of 76396 and 76404. After we will calculate the factors of 76396 and 76404 and find the biggest common factor number .

Step-1: Prime Factorization of 76396

Prime factors of 76396 are 2, 71, 269. Prime factorization of 76396 in exponential form is:

76396 = 2² × 71¹ × 269¹

Step-2: Prime Factorization of 76404

Prime factors of 76404 are 2, 3, 6367. Prime factorization of 76404 in exponential form is:

76404 = 2² × 3¹ × 6367¹

Step-3: Factors of 76396

List of positive integer factors of 76396 that divides 76396 without a remainder.

1, 2, 4, 71, 142, 269, 284, 538, 1076, 19099, 38198

Step-4: Factors of 76404

List of positive integer factors of 76404 that divides 76396 without a remainder.

1, 2, 3, 4, 6, 12, 6367, 12734, 19101, 25468, 38202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76396 and 76404. The biggest common factor number is the GCF number.
So the greatest common factor 76396 and 76404 is 4.

Also check out the Least Common Multiple of 76396 and 76404