What is the Greatest Common Factor of 29438 and 29450?

Greatest common factor (GCF) of 29438 and 29450 is 2.

GCF(29438,29450) = 2

We will now calculate the prime factors of 29438 and 29450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29438 and 29450.

How to find the GCF of 29438 and 29450?

We will first find the prime factorization of 29438 and 29450. After we will calculate the factors of 29438 and 29450 and find the biggest common factor number .

Step-1: Prime Factorization of 29438

Prime factors of 29438 are 2, 41, 359. Prime factorization of 29438 in exponential form is:

29438 = 2¹ × 41¹ × 359¹

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 29438

List of positive integer factors of 29438 that divides 29438 without a remainder.

1, 2, 41, 82, 359, 718, 14719

Step-4: Factors of 29450

List of positive integer factors of 29450 that divides 29438 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 29438 and 29450. The biggest common factor number is the GCF number.
So the greatest common factor 29438 and 29450 is 2.

Also check out the Least Common Multiple of 29438 and 29450