What is the Greatest Common Factor of 47700 and 47708?

Greatest common factor (GCF) of 47700 and 47708 is 4.

GCF(47700,47708) = 4

We will now calculate the prime factors of 47700 and 47708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47700 and 47708.

How to find the GCF of 47700 and 47708?

We will first find the prime factorization of 47700 and 47708. After we will calculate the factors of 47700 and 47708 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 47708

Prime factors of 47708 are 2, 11927. Prime factorization of 47708 in exponential form is:

47708 = 2² × 11927¹

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 47708

List of positive integer factors of 47708 that divides 47700 without a remainder.

1, 2, 4, 11927, 23854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47700 and 47708. The biggest common factor number is the GCF number.
So the greatest common factor 47700 and 47708 is 4.

Also check out the Least Common Multiple of 47700 and 47708