What is the Greatest Common Factor of 38884 and 38896?

Greatest common factor (GCF) of 38884 and 38896 is 4.

GCF(38884,38896) = 4

We will now calculate the prime factors of 38884 and 38896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38884 and 38896.

How to find the GCF of 38884 and 38896?

We will first find the prime factorization of 38884 and 38896. After we will calculate the factors of 38884 and 38896 and find the biggest common factor number .

Step-1: Prime Factorization of 38884

Prime factors of 38884 are 2, 9721. Prime factorization of 38884 in exponential form is:

38884 = 2² × 9721¹

Step-2: Prime Factorization of 38896

Prime factors of 38896 are 2, 11, 13, 17. Prime factorization of 38896 in exponential form is:

38896 = 2⁴ × 11¹ × 13¹ × 17¹

Step-3: Factors of 38884

List of positive integer factors of 38884 that divides 38884 without a remainder.

1, 2, 4, 9721, 19442

Step-4: Factors of 38896

List of positive integer factors of 38896 that divides 38884 without a remainder.

1, 2, 4, 8, 11, 13, 16, 17, 22, 26, 34, 44, 52, 68, 88, 104, 136, 143, 176, 187, 208, 221, 272, 286, 374, 442, 572, 748, 884, 1144, 1496, 1768, 2288, 2431, 2992, 3536, 4862, 9724, 19448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38884 and 38896. The biggest common factor number is the GCF number.
So the greatest common factor 38884 and 38896 is 4.

Also check out the Least Common Multiple of 38884 and 38896