What is the Greatest Common Factor of 74393 and 74404?

Greatest common factor (GCF) of 74393 and 74404 is 11.

GCF(74393,74404) = 11

We will now calculate the prime factors of 74393 and 74404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74393 and 74404.

How to find the GCF of 74393 and 74404?

We will first find the prime factorization of 74393 and 74404. After we will calculate the factors of 74393 and 74404 and find the biggest common factor number .

Step-1: Prime Factorization of 74393

Prime factors of 74393 are 11, 6763. Prime factorization of 74393 in exponential form is:

74393 = 11¹ × 6763¹

Step-2: Prime Factorization of 74404

Prime factors of 74404 are 2, 11, 19, 89. Prime factorization of 74404 in exponential form is:

74404 = 2² × 11¹ × 19¹ × 89¹

Step-3: Factors of 74393

List of positive integer factors of 74393 that divides 74393 without a remainder.

1, 11, 6763

Step-4: Factors of 74404

List of positive integer factors of 74404 that divides 74393 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 89, 178, 209, 356, 418, 836, 979, 1691, 1958, 3382, 3916, 6764, 18601, 37202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74393 and 74404. The biggest common factor number is the GCF number.
So the greatest common factor 74393 and 74404 is 11.

Also check out the Least Common Multiple of 74393 and 74404