What is the Greatest Common Factor of 38896 and 38913?

Greatest common factor (GCF) of 38896 and 38913 is 17.

GCF(38896,38913) = 17

We will now calculate the prime factors of 38896 and 38913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38896 and 38913.

How to find the GCF of 38896 and 38913?

We will first find the prime factorization of 38896 and 38913. After we will calculate the factors of 38896 and 38913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38913

Prime factors of 38913 are 3, 7, 17, 109. Prime factorization of 38913 in exponential form is:

38913 = 3¹ × 7¹ × 17¹ × 109¹

Step-3: Factors of 38896

List of positive integer factors of 38896 that divides 38896 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

Step-4: Factors of 38913

List of positive integer factors of 38913 that divides 38896 without a remainder.

1, 3, 7, 17, 21, 51, 109, 119, 327, 357, 763, 1853, 2289, 5559, 12971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38896 and 38913. The biggest common factor number is the GCF number.
So the greatest common factor 38896 and 38913 is 17.

Also check out the Least Common Multiple of 38896 and 38913