What is the Greatest Common Factor of 38410 and 38425?

Greatest common factor (GCF) of 38410 and 38425 is 5.

GCF(38410,38425) = 5

We will now calculate the prime factors of 38410 and 38425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38410 and 38425.

How to find the GCF of 38410 and 38425?

We will first find the prime factorization of 38410 and 38425. After we will calculate the factors of 38410 and 38425 and find the biggest common factor number .

Step-1: Prime Factorization of 38410

Prime factors of 38410 are 2, 5, 23, 167. Prime factorization of 38410 in exponential form is:

38410 = 2¹ × 5¹ × 23¹ × 167¹

Step-2: 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-3: Factors of 38410

List of positive integer factors of 38410 that divides 38410 without a remainder.

1, 2, 5, 10, 23, 46, 115, 167, 230, 334, 835, 1670, 3841, 7682, 19205

Step-4: Factors of 38425

List of positive integer factors of 38425 that divides 38410 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38410 and 38425. The biggest common factor number is the GCF number.
So the greatest common factor 38410 and 38425 is 5.

Also check out the Least Common Multiple of 38410 and 38425