What is the Greatest Common Factor of 38752 and 38768?

Greatest common factor (GCF) of 38752 and 38768 is 16.

GCF(38752,38768) = 16

We will now calculate the prime factors of 38752 and 38768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38752 and 38768.

How to find the GCF of 38752 and 38768?

We will first find the prime factorization of 38752 and 38768. After we will calculate the factors of 38752 and 38768 and find the biggest common factor number .

Step-1: Prime Factorization of 38752

Prime factors of 38752 are 2, 7, 173. Prime factorization of 38752 in exponential form is:

38752 = 2⁵ × 7¹ × 173¹

Step-2: Prime Factorization of 38768

Prime factors of 38768 are 2, 2423. Prime factorization of 38768 in exponential form is:

38768 = 2⁴ × 2423¹

Step-3: Factors of 38752

List of positive integer factors of 38752 that divides 38752 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 173, 224, 346, 692, 1211, 1384, 2422, 2768, 4844, 5536, 9688, 19376

Step-4: Factors of 38768

List of positive integer factors of 38768 that divides 38752 without a remainder.

1, 2, 4, 8, 16, 2423, 4846, 9692, 19384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38752 and 38768. The biggest common factor number is the GCF number.
So the greatest common factor 38752 and 38768 is 16.

Also check out the Least Common Multiple of 38752 and 38768