What is the Greatest Common Factor of 74193 and 74199?

Greatest common factor (GCF) of 74193 and 74199 is 3.

GCF(74193,74199) = 3

We will now calculate the prime factors of 74193 and 74199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74193 and 74199.

How to find the GCF of 74193 and 74199?

We will first find the prime factorization of 74193 and 74199. After we will calculate the factors of 74193 and 74199 and find the biggest common factor number .

Step-1: Prime Factorization of 74193

Prime factors of 74193 are 3, 7, 3533. Prime factorization of 74193 in exponential form is:

74193 = 3¹ × 7¹ × 3533¹

Step-2: Prime Factorization of 74199

Prime factors of 74199 are 3, 24733. Prime factorization of 74199 in exponential form is:

74199 = 3¹ × 24733¹

Step-3: Factors of 74193

List of positive integer factors of 74193 that divides 74193 without a remainder.

1, 3, 7, 21, 3533, 10599, 24731

Step-4: Factors of 74199

List of positive integer factors of 74199 that divides 74193 without a remainder.

1, 3, 24733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74193 and 74199. The biggest common factor number is the GCF number.
So the greatest common factor 74193 and 74199 is 3.

Also check out the Least Common Multiple of 74193 and 74199