What is the Greatest Common Factor of 38592 and 38608?

Greatest common factor (GCF) of 38592 and 38608 is 16.

GCF(38592,38608) = 16

We will now calculate the prime factors of 38592 and 38608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38592 and 38608.

How to find the GCF of 38592 and 38608?

We will first find the prime factorization of 38592 and 38608. After we will calculate the factors of 38592 and 38608 and find the biggest common factor number .

Step-1: Prime Factorization of 38592

Prime factors of 38592 are 2, 3, 67. Prime factorization of 38592 in exponential form is:

38592 = 2⁶ × 3² × 67¹

Step-2: Prime Factorization of 38608

Prime factors of 38608 are 2, 19, 127. Prime factorization of 38608 in exponential form is:

38608 = 2⁴ × 19¹ × 127¹

Step-3: Factors of 38592

List of positive integer factors of 38592 that divides 38592 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 67, 72, 96, 134, 144, 192, 201, 268, 288, 402, 536, 576, 603, 804, 1072, 1206, 1608, 2144, 2412, 3216, 4288, 4824, 6432, 9648, 12864, 19296

Step-4: Factors of 38608

List of positive integer factors of 38608 that divides 38592 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 127, 152, 254, 304, 508, 1016, 2032, 2413, 4826, 9652, 19304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38592 and 38608. The biggest common factor number is the GCF number.
So the greatest common factor 38592 and 38608 is 16.

Also check out the Least Common Multiple of 38592 and 38608