What is the Greatest Common Factor of 74259 and 74278?

Greatest common factor (GCF) of 74259 and 74278 is 1.

GCF(74259,74278) = 1

We will now calculate the prime factors of 74259 and 74278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74259 and 74278.

How to find the GCF of 74259 and 74278?

We will first find the prime factorization of 74259 and 74278. After we will calculate the factors of 74259 and 74278 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 74278

Prime factors of 74278 are 2, 37139. Prime factorization of 74278 in exponential form is:

74278 = 2¹ × 37139¹

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 74278

List of positive integer factors of 74278 that divides 74259 without a remainder.

1, 2, 37139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74259 and 74278. The biggest common factor number is the GCF number.
So the greatest common factor 74259 and 74278 is 1.

Also check out the Least Common Multiple of 74259 and 74278