What is the Greatest Common Factor of 47600 and 47617?

Greatest common factor (GCF) of 47600 and 47617 is 17.

GCF(47600,47617) = 17

We will now calculate the prime factors of 47600 and 47617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47600 and 47617.

How to find the GCF of 47600 and 47617?

We will first find the prime factorization of 47600 and 47617. After we will calculate the factors of 47600 and 47617 and find the biggest common factor number .

Step-1: Prime Factorization of 47600

Prime factors of 47600 are 2, 5, 7, 17. Prime factorization of 47600 in exponential form is:

47600 = 2⁴ × 5² × 7¹ × 17¹

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 47600

List of positive integer factors of 47600 that divides 47600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 80, 85, 100, 112, 119, 136, 140, 170, 175, 200, 238, 272, 280, 340, 350, 400, 425, 476, 560, 595, 680, 700, 850, 952, 1190, 1360, 1400, 1700, 1904, 2380, 2800, 2975, 3400, 4760, 5950, 6800, 9520, 11900, 23800

Step-4: Factors of 47617

List of positive integer factors of 47617 that divides 47600 without a remainder.

1, 17, 2801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47600 and 47617. The biggest common factor number is the GCF number.
So the greatest common factor 47600 and 47617 is 17.

Also check out the Least Common Multiple of 47600 and 47617