What is the Greatest Common Factor of 29814 and 29829?

Greatest common factor (GCF) of 29814 and 29829 is 3.

GCF(29814,29829) = 3

We will now calculate the prime factors of 29814 and 29829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29814 and 29829.

How to find the GCF of 29814 and 29829?

We will first find the prime factorization of 29814 and 29829. After we will calculate the factors of 29814 and 29829 and find the biggest common factor number .

Step-1: Prime Factorization of 29814

Prime factors of 29814 are 2, 3, 4969. Prime factorization of 29814 in exponential form is:

29814 = 2¹ × 3¹ × 4969¹

Step-2: Prime Factorization of 29829

Prime factors of 29829 are 3, 61, 163. Prime factorization of 29829 in exponential form is:

29829 = 3¹ × 61¹ × 163¹

Step-3: Factors of 29814

List of positive integer factors of 29814 that divides 29814 without a remainder.

1, 2, 3, 6, 4969, 9938, 14907

Step-4: Factors of 29829

List of positive integer factors of 29829 that divides 29814 without a remainder.

1, 3, 61, 163, 183, 489, 9943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29814 and 29829. The biggest common factor number is the GCF number.
So the greatest common factor 29814 and 29829 is 3.

Also check out the Least Common Multiple of 29814 and 29829