What is the Greatest Common Factor of 47708 and 47724?

Greatest common factor (GCF) of 47708 and 47724 is 4.

GCF(47708,47724) = 4

We will now calculate the prime factors of 47708 and 47724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47708 and 47724.

How to find the GCF of 47708 and 47724?

We will first find the prime factorization of 47708 and 47724. After we will calculate the factors of 47708 and 47724 and find the biggest common factor number .

Step-1: Prime Factorization of 47708

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

47708 = 2² × 11927¹

Step-2: Prime Factorization of 47724

Prime factors of 47724 are 2, 3, 41, 97. Prime factorization of 47724 in exponential form is:

47724 = 2² × 3¹ × 41¹ × 97¹

Step-3: Factors of 47708

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

1, 2, 4, 11927, 23854

Step-4: Factors of 47724

List of positive integer factors of 47724 that divides 47708 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 97, 123, 164, 194, 246, 291, 388, 492, 582, 1164, 3977, 7954, 11931, 15908, 23862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47708 and 47724. The biggest common factor number is the GCF number.
So the greatest common factor 47708 and 47724 is 4.

Also check out the Least Common Multiple of 47708 and 47724