What is the Greatest Common Factor of 38657 and 38672?

Greatest common factor (GCF) of 38657 and 38672 is 1.

GCF(38657,38672) = 1

We will now calculate the prime factors of 38657 and 38672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38657 and 38672.

How to find the GCF of 38657 and 38672?

We will first find the prime factorization of 38657 and 38672. After we will calculate the factors of 38657 and 38672 and find the biggest common factor number .

Step-1: Prime Factorization of 38657

Prime factors of 38657 are 29, 31, 43. Prime factorization of 38657 in exponential form is:

38657 = 29¹ × 31¹ × 43¹

Step-2: Prime Factorization of 38672

Prime factors of 38672 are 2, 2417. Prime factorization of 38672 in exponential form is:

38672 = 2⁴ × 2417¹

Step-3: Factors of 38657

List of positive integer factors of 38657 that divides 38657 without a remainder.

1, 29, 31, 43, 899, 1247, 1333

Step-4: Factors of 38672

List of positive integer factors of 38672 that divides 38657 without a remainder.

1, 2, 4, 8, 16, 2417, 4834, 9668, 19336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38657 and 38672. The biggest common factor number is the GCF number.
So the greatest common factor 38657 and 38672 is 1.

Also check out the Least Common Multiple of 38657 and 38672