What is the Greatest Common Factor of 47600 and 47615?

Greatest common factor (GCF) of 47600 and 47615 is 5.

GCF(47600,47615) = 5

We will now calculate the prime factors of 47600 and 47615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47600 and 47615.

How to find the GCF of 47600 and 47615?

We will first find the prime factorization of 47600 and 47615. After we will calculate the factors of 47600 and 47615 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 47615

Prime factors of 47615 are 5, 89, 107. Prime factorization of 47615 in exponential form is:

47615 = 5¹ × 89¹ × 107¹

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 47615

List of positive integer factors of 47615 that divides 47600 without a remainder.

1, 5, 89, 107, 445, 535, 9523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47600 and 47615. The biggest common factor number is the GCF number.
So the greatest common factor 47600 and 47615 is 5.

Also check out the Least Common Multiple of 47600 and 47615