What is the Greatest Common Factor of 38960 and 38968?

Greatest common factor (GCF) of 38960 and 38968 is 8.

GCF(38960,38968) = 8

We will now calculate the prime factors of 38960 and 38968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38960 and 38968.

How to find the GCF of 38960 and 38968?

We will first find the prime factorization of 38960 and 38968. After we will calculate the factors of 38960 and 38968 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38968

Prime factors of 38968 are 2, 4871. Prime factorization of 38968 in exponential form is:

38968 = 2³ × 4871¹

Step-3: Factors of 38960

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

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

Step-4: Factors of 38968

List of positive integer factors of 38968 that divides 38960 without a remainder.

1, 2, 4, 8, 4871, 9742, 19484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38960 and 38968. The biggest common factor number is the GCF number.
So the greatest common factor 38960 and 38968 is 8.

Also check out the Least Common Multiple of 38960 and 38968