What is the Greatest Common Factor of 47309 and 47322?

Greatest common factor (GCF) of 47309 and 47322 is 1.

GCF(47309,47322) = 1

We will now calculate the prime factors of 47309 and 47322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47309 and 47322.

How to find the GCF of 47309 and 47322?

We will first find the prime factorization of 47309 and 47322. After we will calculate the factors of 47309 and 47322 and find the biggest common factor number .

Step-1: Prime Factorization of 47309

Prime factors of 47309 are 47309. Prime factorization of 47309 in exponential form is:

47309 = 47309¹

Step-2: Prime Factorization of 47322

Prime factors of 47322 are 2, 3, 11, 239. Prime factorization of 47322 in exponential form is:

47322 = 2¹ × 3² × 11¹ × 239¹

Step-3: Factors of 47309

List of positive integer factors of 47309 that divides 47309 without a remainder.

Step-4: Factors of 47322

List of positive integer factors of 47322 that divides 47309 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47309 and 47322. The biggest common factor number is the GCF number.
So the greatest common factor 47309 and 47322 is 1.

Also check out the Least Common Multiple of 47309 and 47322