What is the Greatest Common Factor of 29808 and 29823?

Greatest common factor (GCF) of 29808 and 29823 is 3.

GCF(29808,29823) = 3

We will now calculate the prime factors of 29808 and 29823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29808 and 29823.

How to find the GCF of 29808 and 29823?

We will first find the prime factorization of 29808 and 29823. After we will calculate the factors of 29808 and 29823 and find the biggest common factor number .

Step-1: Prime Factorization of 29808

Prime factors of 29808 are 2, 3, 23. Prime factorization of 29808 in exponential form is:

29808 = 2⁴ × 3⁴ × 23¹

Step-2: Prime Factorization of 29823

Prime factors of 29823 are 3, 9941. Prime factorization of 29823 in exponential form is:

29823 = 3¹ × 9941¹

Step-3: Factors of 29808

List of positive integer factors of 29808 that divides 29808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 81, 92, 108, 138, 144, 162, 184, 207, 216, 276, 324, 368, 414, 432, 552, 621, 648, 828, 1104, 1242, 1296, 1656, 1863, 2484, 3312, 3726, 4968, 7452, 9936, 14904

Step-4: Factors of 29823

List of positive integer factors of 29823 that divides 29808 without a remainder.

1, 3, 9941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29808 and 29823. The biggest common factor number is the GCF number.
So the greatest common factor 29808 and 29823 is 3.

Also check out the Least Common Multiple of 29808 and 29823