What is the Greatest Common Factor of 38240 and 38256?

Greatest common factor (GCF) of 38240 and 38256 is 16.

GCF(38240,38256) = 16

We will now calculate the prime factors of 38240 and 38256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38240 and 38256.

How to find the GCF of 38240 and 38256?

We will first find the prime factorization of 38240 and 38256. After we will calculate the factors of 38240 and 38256 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 38256

Prime factors of 38256 are 2, 3, 797. Prime factorization of 38256 in exponential form is:

38256 = 2⁴ × 3¹ × 797¹

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 38256

List of positive integer factors of 38256 that divides 38240 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 797, 1594, 2391, 3188, 4782, 6376, 9564, 12752, 19128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38240 and 38256. The biggest common factor number is the GCF number.
So the greatest common factor 38240 and 38256 is 16.

Also check out the Least Common Multiple of 38240 and 38256