What is the Greatest Common Factor of 29406 and 29415?

Greatest common factor (GCF) of 29406 and 29415 is 3.

GCF(29406,29415) = 3

We will now calculate the prime factors of 29406 and 29415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29406 and 29415.

How to find the GCF of 29406 and 29415?

We will first find the prime factorization of 29406 and 29415. After we will calculate the factors of 29406 and 29415 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 29415

Prime factors of 29415 are 3, 5, 37, 53. Prime factorization of 29415 in exponential form is:

29415 = 3¹ × 5¹ × 37¹ × 53¹

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 29415

List of positive integer factors of 29415 that divides 29406 without a remainder.

1, 3, 5, 15, 37, 53, 111, 159, 185, 265, 555, 795, 1961, 5883, 9805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29406 and 29415. The biggest common factor number is the GCF number.
So the greatest common factor 29406 and 29415 is 3.

Also check out the Least Common Multiple of 29406 and 29415