What is the Greatest Common Factor of 74300 and 74318?

Greatest common factor (GCF) of 74300 and 74318 is 2.

GCF(74300,74318) = 2

We will now calculate the prime factors of 74300 and 74318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74300 and 74318.

How to find the GCF of 74300 and 74318?

We will first find the prime factorization of 74300 and 74318. After we will calculate the factors of 74300 and 74318 and find the biggest common factor number .

Step-1: Prime Factorization of 74300

Prime factors of 74300 are 2, 5, 743. Prime factorization of 74300 in exponential form is:

74300 = 2² × 5² × 743¹

Step-2: Prime Factorization of 74318

Prime factors of 74318 are 2, 37159. Prime factorization of 74318 in exponential form is:

74318 = 2¹ × 37159¹

Step-3: Factors of 74300

List of positive integer factors of 74300 that divides 74300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 743, 1486, 2972, 3715, 7430, 14860, 18575, 37150

Step-4: Factors of 74318

List of positive integer factors of 74318 that divides 74300 without a remainder.

1, 2, 37159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74300 and 74318. The biggest common factor number is the GCF number.
So the greatest common factor 74300 and 74318 is 2.

Also check out the Least Common Multiple of 74300 and 74318