What is the Greatest Common Factor of 47808 and 47826?

Greatest common factor (GCF) of 47808 and 47826 is 18.

GCF(47808,47826) = 18

We will now calculate the prime factors of 47808 and 47826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47808 and 47826.

How to find the GCF of 47808 and 47826?

We will first find the prime factorization of 47808 and 47826. After we will calculate the factors of 47808 and 47826 and find the biggest common factor number .

Step-1: Prime Factorization of 47808

Prime factors of 47808 are 2, 3, 83. Prime factorization of 47808 in exponential form is:

47808 = 2⁶ × 3² × 83¹

Step-2: Prime Factorization of 47826

Prime factors of 47826 are 2, 3, 2657. Prime factorization of 47826 in exponential form is:

47826 = 2¹ × 3² × 2657¹

Step-3: Factors of 47808

List of positive integer factors of 47808 that divides 47808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 83, 96, 144, 166, 192, 249, 288, 332, 498, 576, 664, 747, 996, 1328, 1494, 1992, 2656, 2988, 3984, 5312, 5976, 7968, 11952, 15936, 23904

Step-4: Factors of 47826

List of positive integer factors of 47826 that divides 47808 without a remainder.

1, 2, 3, 6, 9, 18, 2657, 5314, 7971, 15942, 23913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47808 and 47826. The biggest common factor number is the GCF number.
So the greatest common factor 47808 and 47826 is 18.

Also check out the Least Common Multiple of 47808 and 47826