What is the Greatest Common Factor of 47243 and 47259?

Greatest common factor (GCF) of 47243 and 47259 is 1.

GCF(47243,47259) = 1

We will now calculate the prime factors of 47243 and 47259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47243 and 47259.

How to find the GCF of 47243 and 47259?

We will first find the prime factorization of 47243 and 47259. After we will calculate the factors of 47243 and 47259 and find the biggest common factor number .

Step-1: Prime Factorization of 47243

Prime factors of 47243 are 7, 17, 397. Prime factorization of 47243 in exponential form is:

47243 = 7¹ × 17¹ × 397¹

Step-2: Prime Factorization of 47259

Prime factors of 47259 are 3, 59, 89. Prime factorization of 47259 in exponential form is:

47259 = 3² × 59¹ × 89¹

Step-3: Factors of 47243

List of positive integer factors of 47243 that divides 47243 without a remainder.

1, 7, 17, 119, 397, 2779, 6749

Step-4: Factors of 47259

List of positive integer factors of 47259 that divides 47243 without a remainder.

1, 3, 9, 59, 89, 177, 267, 531, 801, 5251, 15753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47243 and 47259. The biggest common factor number is the GCF number.
So the greatest common factor 47243 and 47259 is 1.

Also check out the Least Common Multiple of 47243 and 47259