What is the Greatest Common Factor of 38240 and 38253?

Greatest common factor (GCF) of 38240 and 38253 is 1.

GCF(38240,38253) = 1

We will now calculate the prime factors of 38240 and 38253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38240 and 38253.

How to find the GCF of 38240 and 38253?

We will first find the prime factorization of 38240 and 38253. After we will calculate the factors of 38240 and 38253 and find the biggest common factor number .

Step-1: Prime Factorization of 38240

Prime factors of 38240 are 2, 5, 239. Prime factorization of 38240 in exponential form is:

38240 = 2⁵ × 5¹ × 239¹

Step-2: Prime Factorization of 38253

Prime factors of 38253 are 3, 41, 311. Prime factorization of 38253 in exponential form is:

38253 = 3¹ × 41¹ × 311¹

Step-3: Factors of 38240

List of positive integer factors of 38240 that divides 38240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 7648, 9560, 19120

Step-4: Factors of 38253

List of positive integer factors of 38253 that divides 38240 without a remainder.

1, 3, 41, 123, 311, 933, 12751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38240 and 38253. The biggest common factor number is the GCF number.
So the greatest common factor 38240 and 38253 is 1.

Also check out the Least Common Multiple of 38240 and 38253