What is the Greatest Common Factor of 47802 and 47817?

Greatest common factor (GCF) of 47802 and 47817 is 3.

GCF(47802,47817) = 3

We will now calculate the prime factors of 47802 and 47817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47802 and 47817.

How to find the GCF of 47802 and 47817?

We will first find the prime factorization of 47802 and 47817. After we will calculate the factors of 47802 and 47817 and find the biggest common factor number .

Step-1: Prime Factorization of 47802

Prime factors of 47802 are 2, 3, 31, 257. Prime factorization of 47802 in exponential form is:

47802 = 2¹ × 3¹ × 31¹ × 257¹

Step-2: Prime Factorization of 47817

Prime factors of 47817 are 3, 7, 11, 23. Prime factorization of 47817 in exponential form is:

47817 = 3³ × 7¹ × 11¹ × 23¹

Step-3: Factors of 47802

List of positive integer factors of 47802 that divides 47802 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901

Step-4: Factors of 47817

List of positive integer factors of 47817 that divides 47802 without a remainder.

1, 3, 7, 9, 11, 21, 23, 27, 33, 63, 69, 77, 99, 161, 189, 207, 231, 253, 297, 483, 621, 693, 759, 1449, 1771, 2079, 2277, 4347, 5313, 6831, 15939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47802 and 47817. The biggest common factor number is the GCF number.
So the greatest common factor 47802 and 47817 is 3.

Also check out the Least Common Multiple of 47802 and 47817