What is the Greatest Common Factor of 29406 and 29412?

Greatest common factor (GCF) of 29406 and 29412 is 6.

GCF(29406,29412) = 6

We will now calculate the prime factors of 29406 and 29412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29406 and 29412.

How to find the GCF of 29406 and 29412?

We will first find the prime factorization of 29406 and 29412. After we will calculate the factors of 29406 and 29412 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 29412

Prime factors of 29412 are 2, 3, 19, 43. Prime factorization of 29412 in exponential form is:

29412 = 2² × 3² × 19¹ × 43¹

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 29412

List of positive integer factors of 29412 that divides 29406 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 43, 57, 76, 86, 114, 129, 171, 172, 228, 258, 342, 387, 516, 684, 774, 817, 1548, 1634, 2451, 3268, 4902, 7353, 9804, 14706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29406 and 29412. The biggest common factor number is the GCF number.
So the greatest common factor 29406 and 29412 is 6.

Also check out the Least Common Multiple of 29406 and 29412