What is the Greatest Common Factor of 38224 and 38240?

Greatest common factor (GCF) of 38224 and 38240 is 16.

GCF(38224,38240) = 16

We will now calculate the prime factors of 38224 and 38240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38224 and 38240.

How to find the GCF of 38224 and 38240?

We will first find the prime factorization of 38224 and 38240. After we will calculate the factors of 38224 and 38240 and find the biggest common factor number .

Step-1: Prime Factorization of 38224

Prime factors of 38224 are 2, 2389. Prime factorization of 38224 in exponential form is:

38224 = 2⁴ × 2389¹

Step-2: 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-3: Factors of 38224

List of positive integer factors of 38224 that divides 38224 without a remainder.

1, 2, 4, 8, 16, 2389, 4778, 9556, 19112

Step-4: Factors of 38240

List of positive integer factors of 38240 that divides 38224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38224 and 38240. The biggest common factor number is the GCF number.
So the greatest common factor 38224 and 38240 is 16.

Also check out the Least Common Multiple of 38224 and 38240