What is the Greatest Common Factor of 47306 and 47324?

Greatest common factor (GCF) of 47306 and 47324 is 2.

GCF(47306,47324) = 2

We will now calculate the prime factors of 47306 and 47324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47306 and 47324.

How to find the GCF of 47306 and 47324?

We will first find the prime factorization of 47306 and 47324. After we will calculate the factors of 47306 and 47324 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 47324

Prime factors of 47324 are 2, 11831. Prime factorization of 47324 in exponential form is:

47324 = 2² × 11831¹

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 47324

List of positive integer factors of 47324 that divides 47306 without a remainder.

1, 2, 4, 11831, 23662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47306 and 47324. The biggest common factor number is the GCF number.
So the greatest common factor 47306 and 47324 is 2.

Also check out the Least Common Multiple of 47306 and 47324