What is the Greatest Common Factor of 29430 and 29442?

Greatest common factor (GCF) of 29430 and 29442 is 6.

GCF(29430,29442) = 6

We will now calculate the prime factors of 29430 and 29442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29430 and 29442.

How to find the GCF of 29430 and 29442?

We will first find the prime factorization of 29430 and 29442. After we will calculate the factors of 29430 and 29442 and find the biggest common factor number .

Step-1: Prime Factorization of 29430

Prime factors of 29430 are 2, 3, 5, 109. Prime factorization of 29430 in exponential form is:

29430 = 2¹ × 3³ × 5¹ × 109¹

Step-2: Prime Factorization of 29442

Prime factors of 29442 are 2, 3, 7, 701. Prime factorization of 29442 in exponential form is:

29442 = 2¹ × 3¹ × 7¹ × 701¹

Step-3: Factors of 29430

List of positive integer factors of 29430 that divides 29430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 109, 135, 218, 270, 327, 545, 654, 981, 1090, 1635, 1962, 2943, 3270, 4905, 5886, 9810, 14715

Step-4: Factors of 29442

List of positive integer factors of 29442 that divides 29430 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 701, 1402, 2103, 4206, 4907, 9814, 14721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29430 and 29442. The biggest common factor number is the GCF number.
So the greatest common factor 29430 and 29442 is 6.

Also check out the Least Common Multiple of 29430 and 29442