What is the Greatest Common Factor of 47700 and 47709?

Greatest common factor (GCF) of 47700 and 47709 is 9.

GCF(47700,47709) = 9

We will now calculate the prime factors of 47700 and 47709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47700 and 47709.

How to find the GCF of 47700 and 47709?

We will first find the prime factorization of 47700 and 47709. After we will calculate the factors of 47700 and 47709 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 47709

Prime factors of 47709 are 3, 19, 31. Prime factorization of 47709 in exponential form is:

47709 = 3⁴ × 19¹ × 31¹

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 47709

List of positive integer factors of 47709 that divides 47700 without a remainder.

1, 3, 9, 19, 27, 31, 57, 81, 93, 171, 279, 513, 589, 837, 1539, 1767, 2511, 5301, 15903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47700 and 47709. The biggest common factor number is the GCF number.
So the greatest common factor 47700 and 47709 is 9.

Also check out the Least Common Multiple of 47700 and 47709