What is the Greatest Common Factor of 29403 and 29418?

Greatest common factor (GCF) of 29403 and 29418 is 3.

GCF(29403,29418) = 3

We will now calculate the prime factors of 29403 and 29418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29403 and 29418.

How to find the GCF of 29403 and 29418?

We will first find the prime factorization of 29403 and 29418. After we will calculate the factors of 29403 and 29418 and find the biggest common factor number .

Step-1: Prime Factorization of 29403

Prime factors of 29403 are 3, 11. Prime factorization of 29403 in exponential form is:

29403 = 3⁵ × 11²

Step-2: Prime Factorization of 29418

Prime factors of 29418 are 2, 3, 4903. Prime factorization of 29418 in exponential form is:

29418 = 2¹ × 3¹ × 4903¹

Step-3: Factors of 29403

List of positive integer factors of 29403 that divides 29403 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 243, 297, 363, 891, 1089, 2673, 3267, 9801

Step-4: Factors of 29418

List of positive integer factors of 29418 that divides 29403 without a remainder.

1, 2, 3, 6, 4903, 9806, 14709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29403 and 29418. The biggest common factor number is the GCF number.
So the greatest common factor 29403 and 29418 is 3.

Also check out the Least Common Multiple of 29403 and 29418