What is the Greatest Common Factor of 38944 and 38960?

Greatest common factor (GCF) of 38944 and 38960 is 16.

GCF(38944,38960) = 16

We will now calculate the prime factors of 38944 and 38960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38944 and 38960.

How to find the GCF of 38944 and 38960?

We will first find the prime factorization of 38944 and 38960. After we will calculate the factors of 38944 and 38960 and find the biggest common factor number .

Step-1: Prime Factorization of 38944

Prime factors of 38944 are 2, 1217. Prime factorization of 38944 in exponential form is:

38944 = 2⁵ × 1217¹

Step-2: Prime Factorization of 38960

Prime factors of 38960 are 2, 5, 487. Prime factorization of 38960 in exponential form is:

38960 = 2⁴ × 5¹ × 487¹

Step-3: Factors of 38944

List of positive integer factors of 38944 that divides 38944 without a remainder.

1, 2, 4, 8, 16, 32, 1217, 2434, 4868, 9736, 19472

Step-4: Factors of 38960

List of positive integer factors of 38960 that divides 38944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 487, 974, 1948, 2435, 3896, 4870, 7792, 9740, 19480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38944 and 38960. The biggest common factor number is the GCF number.
So the greatest common factor 38944 and 38960 is 16.

Also check out the Least Common Multiple of 38944 and 38960