What is the Greatest Common Factor of 38960 and 38980?

Greatest common factor (GCF) of 38960 and 38980 is 20.

GCF(38960,38980) = 20

We will now calculate the prime factors of 38960 and 38980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38960 and 38980.

How to find the GCF of 38960 and 38980?

We will first find the prime factorization of 38960 and 38980. After we will calculate the factors of 38960 and 38980 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 38980

Prime factors of 38980 are 2, 5, 1949. Prime factorization of 38980 in exponential form is:

38980 = 2² × 5¹ × 1949¹

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 38980

List of positive integer factors of 38980 that divides 38960 without a remainder.

1, 2, 4, 5, 10, 20, 1949, 3898, 7796, 9745, 19490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38960 and 38980. The biggest common factor number is the GCF number.
So the greatest common factor 38960 and 38980 is 20.

Also check out the Least Common Multiple of 38960 and 38980