What is the Greatest Common Factor of 47314 and 47332?

Greatest common factor (GCF) of 47314 and 47332 is 2.

GCF(47314,47332) = 2

We will now calculate the prime factors of 47314 and 47332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47314 and 47332.

How to find the GCF of 47314 and 47332?

We will first find the prime factorization of 47314 and 47332. After we will calculate the factors of 47314 and 47332 and find the biggest common factor number .

Step-1: Prime Factorization of 47314

Prime factors of 47314 are 2, 41, 577. Prime factorization of 47314 in exponential form is:

47314 = 2¹ × 41¹ × 577¹

Step-2: Prime Factorization of 47332

Prime factors of 47332 are 2, 11833. Prime factorization of 47332 in exponential form is:

47332 = 2² × 11833¹

Step-3: Factors of 47314

List of positive integer factors of 47314 that divides 47314 without a remainder.

1, 2, 41, 82, 577, 1154, 23657

Step-4: Factors of 47332

List of positive integer factors of 47332 that divides 47314 without a remainder.

1, 2, 4, 11833, 23666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47314 and 47332. The biggest common factor number is the GCF number.
So the greatest common factor 47314 and 47332 is 2.

Also check out the Least Common Multiple of 47314 and 47332