What is the Greatest Common Factor of 47634 and 47651?

Greatest common factor (GCF) of 47634 and 47651 is 17.

GCF(47634,47651) = 17

We will now calculate the prime factors of 47634 and 47651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47634 and 47651.

How to find the GCF of 47634 and 47651?

We will first find the prime factorization of 47634 and 47651. After we will calculate the factors of 47634 and 47651 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 47651

Prime factors of 47651 are 17, 2803. Prime factorization of 47651 in exponential form is:

47651 = 17¹ × 2803¹

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 47651

List of positive integer factors of 47651 that divides 47634 without a remainder.

1, 17, 2803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47634 and 47651. The biggest common factor number is the GCF number.
So the greatest common factor 47634 and 47651 is 17.

Also check out the Least Common Multiple of 47634 and 47651