What is the Greatest Common Factor of 29430 and 29440?

Greatest common factor (GCF) of 29430 and 29440 is 10.

GCF(29430,29440) = 10

We will now calculate the prime factors of 29430 and 29440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29430 and 29440.

How to find the GCF of 29430 and 29440?

We will first find the prime factorization of 29430 and 29440. After we will calculate the factors of 29430 and 29440 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 29440

Prime factors of 29440 are 2, 5, 23. Prime factorization of 29440 in exponential form is:

29440 = 2⁸ × 5¹ × 23¹

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 29440

List of positive integer factors of 29440 that divides 29430 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 256, 320, 368, 460, 640, 736, 920, 1280, 1472, 1840, 2944, 3680, 5888, 7360, 14720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29430 and 29440. The biggest common factor number is the GCF number.
So the greatest common factor 29430 and 29440 is 10.

Also check out the Least Common Multiple of 29430 and 29440