What is the Greatest Common Factor of 38440 and 38450?

Greatest common factor (GCF) of 38440 and 38450 is 10.

GCF(38440,38450) = 10

We will now calculate the prime factors of 38440 and 38450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38440 and 38450.

How to find the GCF of 38440 and 38450?

We will first find the prime factorization of 38440 and 38450. After we will calculate the factors of 38440 and 38450 and find the biggest common factor number .

Step-1: Prime Factorization of 38440

Prime factors of 38440 are 2, 5, 31. Prime factorization of 38440 in exponential form is:

38440 = 2³ × 5¹ × 31²

Step-2: Prime Factorization of 38450

Prime factors of 38450 are 2, 5, 769. Prime factorization of 38450 in exponential form is:

38450 = 2¹ × 5² × 769¹

Step-3: Factors of 38440

List of positive integer factors of 38440 that divides 38440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 961, 1240, 1922, 3844, 4805, 7688, 9610, 19220

Step-4: Factors of 38450

List of positive integer factors of 38450 that divides 38440 without a remainder.

1, 2, 5, 10, 25, 50, 769, 1538, 3845, 7690, 19225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38440 and 38450. The biggest common factor number is the GCF number.
So the greatest common factor 38440 and 38450 is 10.

Also check out the Least Common Multiple of 38440 and 38450