What is the Greatest Common Factor of 38752 and 38772?

Greatest common factor (GCF) of 38752 and 38772 is 4.

GCF(38752,38772) = 4

We will now calculate the prime factors of 38752 and 38772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38752 and 38772.

How to find the GCF of 38752 and 38772?

We will first find the prime factorization of 38752 and 38772. After we will calculate the factors of 38752 and 38772 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 38772

Prime factors of 38772 are 2, 3, 359. Prime factorization of 38772 in exponential form is:

38772 = 2² × 3³ × 359¹

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 38772

List of positive integer factors of 38772 that divides 38752 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 359, 718, 1077, 1436, 2154, 3231, 4308, 6462, 9693, 12924, 19386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38752 and 38772. The biggest common factor number is the GCF number.
So the greatest common factor 38752 and 38772 is 4.

Also check out the Least Common Multiple of 38752 and 38772