What is the Greatest Common Factor of 47663 and 47675?

Greatest common factor (GCF) of 47663 and 47675 is 1.

GCF(47663,47675) = 1

We will now calculate the prime factors of 47663 and 47675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47663 and 47675.

How to find the GCF of 47663 and 47675?

We will first find the prime factorization of 47663 and 47675. After we will calculate the factors of 47663 and 47675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47675

Prime factors of 47675 are 5, 1907. Prime factorization of 47675 in exponential form is:

47675 = 5² × 1907¹

Step-3: Factors of 47663

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

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

Step-4: Factors of 47675

List of positive integer factors of 47675 that divides 47663 without a remainder.

1, 5, 25, 1907, 9535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47663 and 47675. The biggest common factor number is the GCF number.
So the greatest common factor 47663 and 47675 is 1.

Also check out the Least Common Multiple of 47663 and 47675