What is the Greatest Common Factor of 38592 and 38598?

Greatest common factor (GCF) of 38592 and 38598 is 6.

GCF(38592,38598) = 6

We will now calculate the prime factors of 38592 and 38598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38592 and 38598.

How to find the GCF of 38592 and 38598?

We will first find the prime factorization of 38592 and 38598. After we will calculate the factors of 38592 and 38598 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 38598

Prime factors of 38598 are 2, 3, 7, 919. Prime factorization of 38598 in exponential form is:

38598 = 2¹ × 3¹ × 7¹ × 919¹

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 38598

List of positive integer factors of 38598 that divides 38592 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 919, 1838, 2757, 5514, 6433, 12866, 19299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38592 and 38598. The biggest common factor number is the GCF number.
So the greatest common factor 38592 and 38598 is 6.

Also check out the Least Common Multiple of 38592 and 38598