What is the Greatest Common Factor of 74398 and 74403?

Greatest common factor (GCF) of 74398 and 74403 is 1.

GCF(74398,74403) = 1

We will now calculate the prime factors of 74398 and 74403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74398 and 74403.

How to find the GCF of 74398 and 74403?

We will first find the prime factorization of 74398 and 74403. After we will calculate the factors of 74398 and 74403 and find the biggest common factor number .

Step-1: Prime Factorization of 74398

Prime factors of 74398 are 2, 37199. Prime factorization of 74398 in exponential form is:

74398 = 2¹ × 37199¹

Step-2: Prime Factorization of 74403

Prime factors of 74403 are 3, 7, 1181. Prime factorization of 74403 in exponential form is:

74403 = 3² × 7¹ × 1181¹

Step-3: Factors of 74398

List of positive integer factors of 74398 that divides 74398 without a remainder.

1, 2, 37199

Step-4: Factors of 74403

List of positive integer factors of 74403 that divides 74398 without a remainder.

1, 3, 7, 9, 21, 63, 1181, 3543, 8267, 10629, 24801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74398 and 74403. The biggest common factor number is the GCF number.
So the greatest common factor 74398 and 74403 is 1.

Also check out the Least Common Multiple of 74398 and 74403