What is the Greatest Common Factor of 38960 and 38972?

Greatest common factor (GCF) of 38960 and 38972 is 4.

GCF(38960,38972) = 4

We will now calculate the prime factors of 38960 and 38972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38960 and 38972.

How to find the GCF of 38960 and 38972?

We will first find the prime factorization of 38960 and 38972. After we will calculate the factors of 38960 and 38972 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 38972

Prime factors of 38972 are 2, 9743. Prime factorization of 38972 in exponential form is:

38972 = 2² × 9743¹

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 38972

List of positive integer factors of 38972 that divides 38960 without a remainder.

1, 2, 4, 9743, 19486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38960 and 38972. The biggest common factor number is the GCF number.
So the greatest common factor 38960 and 38972 is 4.

Also check out the Least Common Multiple of 38960 and 38972