What is the Greatest Common Factor of 29440 and 29450?

Greatest common factor (GCF) of 29440 and 29450 is 10.

GCF(29440,29450) = 10

We will now calculate the prime factors of 29440 and 29450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29440 and 29450.

How to find the GCF of 29440 and 29450?

We will first find the prime factorization of 29440 and 29450. After we will calculate the factors of 29440 and 29450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29450

Prime factors of 29450 are 2, 5, 19, 31. Prime factorization of 29450 in exponential form is:

29450 = 2¹ × 5² × 19¹ × 31¹

Step-3: Factors of 29440

List of positive integer factors of 29440 that divides 29440 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

Step-4: Factors of 29450

List of positive integer factors of 29450 that divides 29440 without a remainder.

1, 2, 5, 10, 19, 25, 31, 38, 50, 62, 95, 155, 190, 310, 475, 589, 775, 950, 1178, 1550, 2945, 5890, 14725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29440 and 29450. The biggest common factor number is the GCF number.
So the greatest common factor 29440 and 29450 is 10.

Also check out the Least Common Multiple of 29440 and 29450