What is the Greatest Common Factor of 74259 and 74263?

Greatest common factor (GCF) of 74259 and 74263 is 1.

GCF(74259,74263) = 1

We will now calculate the prime factors of 74259 and 74263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74259 and 74263.

How to find the GCF of 74259 and 74263?

We will first find the prime factorization of 74259 and 74263. After we will calculate the factors of 74259 and 74263 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 74263

Prime factors of 74263 are 7, 103. Prime factorization of 74263 in exponential form is:

74263 = 7¹ × 103²

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 74263

List of positive integer factors of 74263 that divides 74259 without a remainder.

1, 7, 103, 721, 10609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74259 and 74263. The biggest common factor number is the GCF number.
So the greatest common factor 74259 and 74263 is 1.

Also check out the Least Common Multiple of 74259 and 74263