What is the Greatest Common Factor of 74182 and 74193?

Greatest common factor (GCF) of 74182 and 74193 is 1.

GCF(74182,74193) = 1

We will now calculate the prime factors of 74182 and 74193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74182 and 74193.

How to find the GCF of 74182 and 74193?

We will first find the prime factorization of 74182 and 74193. After we will calculate the factors of 74182 and 74193 and find the biggest common factor number .

Step-1: Prime Factorization of 74182

Prime factors of 74182 are 2, 29, 1279. Prime factorization of 74182 in exponential form is:

74182 = 2¹ × 29¹ × 1279¹

Step-2: 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-3: Factors of 74182

List of positive integer factors of 74182 that divides 74182 without a remainder.

1, 2, 29, 58, 1279, 2558, 37091

Step-4: Factors of 74193

List of positive integer factors of 74193 that divides 74182 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74182 and 74193. The biggest common factor number is the GCF number.
So the greatest common factor 74182 and 74193 is 1.

Also check out the Least Common Multiple of 74182 and 74193