What is the Greatest Common Factor of 47700 and 47705?

Greatest common factor (GCF) of 47700 and 47705 is 5.

GCF(47700,47705) = 5

We will now calculate the prime factors of 47700 and 47705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47700 and 47705.

How to find the GCF of 47700 and 47705?

We will first find the prime factorization of 47700 and 47705. After we will calculate the factors of 47700 and 47705 and find the biggest common factor number .

Step-1: Prime Factorization of 47700

Prime factors of 47700 are 2, 3, 5, 53. Prime factorization of 47700 in exponential form is:

47700 = 2² × 3² × 5² × 53¹

Step-2: Prime Factorization of 47705

Prime factors of 47705 are 5, 7, 29, 47. Prime factorization of 47705 in exponential form is:

47705 = 5¹ × 7¹ × 29¹ × 47¹

Step-3: Factors of 47700

List of positive integer factors of 47700 that divides 47700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 53, 60, 75, 90, 100, 106, 150, 159, 180, 212, 225, 265, 300, 318, 450, 477, 530, 636, 795, 900, 954, 1060, 1325, 1590, 1908, 2385, 2650, 3180, 3975, 4770, 5300, 7950, 9540, 11925, 15900, 23850

Step-4: Factors of 47705

List of positive integer factors of 47705 that divides 47700 without a remainder.

1, 5, 7, 29, 35, 47, 145, 203, 235, 329, 1015, 1363, 1645, 6815, 9541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47700 and 47705. The biggest common factor number is the GCF number.
So the greatest common factor 47700 and 47705 is 5.

Also check out the Least Common Multiple of 47700 and 47705