What is the Greatest Common Factor of 47606 and 47613?

Greatest common factor (GCF) of 47606 and 47613 is 1.

GCF(47606,47613) = 1

We will now calculate the prime factors of 47606 and 47613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47606 and 47613.

How to find the GCF of 47606 and 47613?

We will first find the prime factorization of 47606 and 47613. After we will calculate the factors of 47606 and 47613 and find the biggest common factor number .

Step-1: Prime Factorization of 47606

Prime factors of 47606 are 2, 13, 1831. Prime factorization of 47606 in exponential form is:

47606 = 2¹ × 13¹ × 1831¹

Step-2: 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-3: Factors of 47606

List of positive integer factors of 47606 that divides 47606 without a remainder.

1, 2, 13, 26, 1831, 3662, 23803

Step-4: Factors of 47613

List of positive integer factors of 47613 that divides 47606 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47606 and 47613. The biggest common factor number is the GCF number.
So the greatest common factor 47606 and 47613 is 1.

Also check out the Least Common Multiple of 47606 and 47613