What is the Greatest Common Factor of 47634 and 47643?

Greatest common factor (GCF) of 47634 and 47643 is 3.

GCF(47634,47643) = 3

We will now calculate the prime factors of 47634 and 47643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47634 and 47643.

How to find the GCF of 47634 and 47643?

We will first find the prime factorization of 47634 and 47643. After we will calculate the factors of 47634 and 47643 and find the biggest common factor number .

Step-1: Prime Factorization of 47634

Prime factors of 47634 are 2, 3, 17, 467. Prime factorization of 47634 in exponential form is:

47634 = 2¹ × 3¹ × 17¹ × 467¹

Step-2: Prime Factorization of 47643

Prime factors of 47643 are 3, 15881. Prime factorization of 47643 in exponential form is:

47643 = 3¹ × 15881¹

Step-3: Factors of 47634

List of positive integer factors of 47634 that divides 47634 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 467, 934, 1401, 2802, 7939, 15878, 23817

Step-4: Factors of 47643

List of positive integer factors of 47643 that divides 47634 without a remainder.

1, 3, 15881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47634 and 47643. The biggest common factor number is the GCF number.
So the greatest common factor 47634 and 47643 is 3.

Also check out the Least Common Multiple of 47634 and 47643