What is the Greatest Common Factor of 47613 and 47617?

Greatest common factor (GCF) of 47613 and 47617 is 1.

GCF(47613,47617) = 1

We will now calculate the prime factors of 47613 and 47617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47613 and 47617.

How to find the GCF of 47613 and 47617?

We will first find the prime factorization of 47613 and 47617. After we will calculate the factors of 47613 and 47617 and find the biggest common factor number .

Step-1: Prime Factorization of 47613

Prime factors of 47613 are 3, 59, 269. Prime factorization of 47613 in exponential form is:

47613 = 3¹ × 59¹ × 269¹

Step-2: Prime Factorization of 47617

Prime factors of 47617 are 17, 2801. Prime factorization of 47617 in exponential form is:

47617 = 17¹ × 2801¹

Step-3: Factors of 47613

List of positive integer factors of 47613 that divides 47613 without a remainder.

1, 3, 59, 177, 269, 807, 15871

Step-4: Factors of 47617

List of positive integer factors of 47617 that divides 47613 without a remainder.

1, 17, 2801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47613 and 47617. The biggest common factor number is the GCF number.
So the greatest common factor 47613 and 47617 is 1.

Also check out the Least Common Multiple of 47613 and 47617