What is the Greatest Common Factor of 29406 and 29418?

Greatest common factor (GCF) of 29406 and 29418 is 6.

GCF(29406,29418) = 6

We will now calculate the prime factors of 29406 and 29418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29406 and 29418.

How to find the GCF of 29406 and 29418?

We will first find the prime factorization of 29406 and 29418. After we will calculate the factors of 29406 and 29418 and find the biggest common factor number .

Step-1: Prime Factorization of 29406

Prime factors of 29406 are 2, 3, 13, 29. Prime factorization of 29406 in exponential form is:

29406 = 2¹ × 3¹ × 13² × 29¹

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 29406

List of positive integer factors of 29406 that divides 29406 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 169, 174, 338, 377, 507, 754, 1014, 1131, 2262, 4901, 9802, 14703

Step-4: Factors of 29418

List of positive integer factors of 29418 that divides 29406 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29406 and 29418. The biggest common factor number is the GCF number.
So the greatest common factor 29406 and 29418 is 6.

Also check out the Least Common Multiple of 29406 and 29418