What is the Greatest Common Factor of 47508 and 47517?

Greatest common factor (GCF) of 47508 and 47517 is 3.

GCF(47508,47517) = 3

We will now calculate the prime factors of 47508 and 47517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47508 and 47517.

How to find the GCF of 47508 and 47517?

We will first find the prime factorization of 47508 and 47517. After we will calculate the factors of 47508 and 47517 and find the biggest common factor number .

Step-1: Prime Factorization of 47508

Prime factors of 47508 are 2, 3, 37, 107. Prime factorization of 47508 in exponential form is:

47508 = 2² × 3¹ × 37¹ × 107¹

Step-2: Prime Factorization of 47517

Prime factors of 47517 are 3, 47, 337. Prime factorization of 47517 in exponential form is:

47517 = 3¹ × 47¹ × 337¹

Step-3: Factors of 47508

List of positive integer factors of 47508 that divides 47508 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 107, 111, 148, 214, 222, 321, 428, 444, 642, 1284, 3959, 7918, 11877, 15836, 23754

Step-4: Factors of 47517

List of positive integer factors of 47517 that divides 47508 without a remainder.

1, 3, 47, 141, 337, 1011, 15839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47508 and 47517. The biggest common factor number is the GCF number.
So the greatest common factor 47508 and 47517 is 3.

Also check out the Least Common Multiple of 47508 and 47517