What is the Greatest Common Factor of 47647 and 47663?

Greatest common factor (GCF) of 47647 and 47663 is 1.

GCF(47647,47663) = 1

We will now calculate the prime factors of 47647 and 47663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47647 and 47663.

How to find the GCF of 47647 and 47663?

We will first find the prime factorization of 47647 and 47663. After we will calculate the factors of 47647 and 47663 and find the biggest common factor number .

Step-1: Prime Factorization of 47647

Prime factors of 47647 are 29, 31, 53. Prime factorization of 47647 in exponential form is:

47647 = 29¹ × 31¹ × 53¹

Step-2: Prime Factorization of 47663

Prime factors of 47663 are 7, 11, 619. Prime factorization of 47663 in exponential form is:

47663 = 7¹ × 11¹ × 619¹

Step-3: Factors of 47647

List of positive integer factors of 47647 that divides 47647 without a remainder.

1, 29, 31, 53, 899, 1537, 1643

Step-4: Factors of 47663

List of positive integer factors of 47663 that divides 47647 without a remainder.

1, 7, 11, 77, 619, 4333, 6809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47647 and 47663. The biggest common factor number is the GCF number.
So the greatest common factor 47647 and 47663 is 1.

Also check out the Least Common Multiple of 47647 and 47663