What is the Greatest Common Factor of 38392 and 38410?

Greatest common factor (GCF) of 38392 and 38410 is 2.

GCF(38392,38410) = 2

We will now calculate the prime factors of 38392 and 38410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38392 and 38410.

How to find the GCF of 38392 and 38410?

We will first find the prime factorization of 38392 and 38410. After we will calculate the factors of 38392 and 38410 and find the biggest common factor number .

Step-1: Prime Factorization of 38392

Prime factors of 38392 are 2, 4799. Prime factorization of 38392 in exponential form is:

38392 = 2³ × 4799¹

Step-2: 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-3: Factors of 38392

List of positive integer factors of 38392 that divides 38392 without a remainder.

1, 2, 4, 8, 4799, 9598, 19196

Step-4: Factors of 38410

List of positive integer factors of 38410 that divides 38392 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38392 and 38410. The biggest common factor number is the GCF number.
So the greatest common factor 38392 and 38410 is 2.

Also check out the Least Common Multiple of 38392 and 38410