What is the Greatest Common Factor of 47306 and 47322?

Greatest common factor (GCF) of 47306 and 47322 is 2.

GCF(47306,47322) = 2

We will now calculate the prime factors of 47306 and 47322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47306 and 47322.

How to find the GCF of 47306 and 47322?

We will first find the prime factorization of 47306 and 47322. After we will calculate the factors of 47306 and 47322 and find the biggest common factor number .

Step-1: Prime Factorization of 47306

Prime factors of 47306 are 2, 7, 31, 109. Prime factorization of 47306 in exponential form is:

47306 = 2¹ × 7¹ × 31¹ × 109¹

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 47306

List of positive integer factors of 47306 that divides 47306 without a remainder.

1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653

Step-4: Factors of 47322

List of positive integer factors of 47322 that divides 47306 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 47306 and 47322. The biggest common factor number is the GCF number.
So the greatest common factor 47306 and 47322 is 2.

Also check out the Least Common Multiple of 47306 and 47322