What is the Greatest Common Factor of 74259 and 74274?

Greatest common factor (GCF) of 74259 and 74274 is 3.

GCF(74259,74274) = 3

We will now calculate the prime factors of 74259 and 74274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74259 and 74274.

How to find the GCF of 74259 and 74274?

We will first find the prime factorization of 74259 and 74274. After we will calculate the factors of 74259 and 74274 and find the biggest common factor number .

Step-1: Prime Factorization of 74259

Prime factors of 74259 are 3, 37, 223. Prime factorization of 74259 in exponential form is:

74259 = 3² × 37¹ × 223¹

Step-2: Prime Factorization of 74274

Prime factors of 74274 are 2, 3, 12379. Prime factorization of 74274 in exponential form is:

74274 = 2¹ × 3¹ × 12379¹

Step-3: Factors of 74259

List of positive integer factors of 74259 that divides 74259 without a remainder.

1, 3, 9, 37, 111, 223, 333, 669, 2007, 8251, 24753

Step-4: Factors of 74274

List of positive integer factors of 74274 that divides 74259 without a remainder.

1, 2, 3, 6, 12379, 24758, 37137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74259 and 74274. The biggest common factor number is the GCF number.
So the greatest common factor 74259 and 74274 is 3.

Also check out the Least Common Multiple of 74259 and 74274