What is the Greatest Common Factor of 38425 and 38440?

Greatest common factor (GCF) of 38425 and 38440 is 5.

GCF(38425,38440) = 5

We will now calculate the prime factors of 38425 and 38440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38425 and 38440.

How to find the GCF of 38425 and 38440?

We will first find the prime factorization of 38425 and 38440. After we will calculate the factors of 38425 and 38440 and find the biggest common factor number .

Step-1: Prime Factorization of 38425

Prime factors of 38425 are 5, 29, 53. Prime factorization of 38425 in exponential form is:

38425 = 5² × 29¹ × 53¹

Step-2: 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-3: Factors of 38425

List of positive integer factors of 38425 that divides 38425 without a remainder.

1, 5, 25, 29, 53, 145, 265, 725, 1325, 1537, 7685

Step-4: Factors of 38440

List of positive integer factors of 38440 that divides 38425 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38425 and 38440. The biggest common factor number is the GCF number.
So the greatest common factor 38425 and 38440 is 5.

Also check out the Least Common Multiple of 38425 and 38440