What is the Greatest Common Factor of 47688 and 47703?

Greatest common factor (GCF) of 47688 and 47703 is 3.

GCF(47688,47703) = 3

We will now calculate the prime factors of 47688 and 47703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47688 and 47703.

How to find the GCF of 47688 and 47703?

We will first find the prime factorization of 47688 and 47703. After we will calculate the factors of 47688 and 47703 and find the biggest common factor number .

Step-1: Prime Factorization of 47688

Prime factors of 47688 are 2, 3, 1987. Prime factorization of 47688 in exponential form is:

47688 = 2³ × 3¹ × 1987¹

Step-2: Prime Factorization of 47703

Prime factors of 47703 are 3, 15901. Prime factorization of 47703 in exponential form is:

47703 = 3¹ × 15901¹

Step-3: Factors of 47688

List of positive integer factors of 47688 that divides 47688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1987, 3974, 5961, 7948, 11922, 15896, 23844

Step-4: Factors of 47703

List of positive integer factors of 47703 that divides 47688 without a remainder.

1, 3, 15901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47688 and 47703. The biggest common factor number is the GCF number.
So the greatest common factor 47688 and 47703 is 3.

Also check out the Least Common Multiple of 47688 and 47703