What is the Greatest Common Factor of 38575 and 38592?

Greatest common factor (GCF) of 38575 and 38592 is 1.

GCF(38575,38592) = 1

We will now calculate the prime factors of 38575 and 38592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38575 and 38592.

How to find the GCF of 38575 and 38592?

We will first find the prime factorization of 38575 and 38592. After we will calculate the factors of 38575 and 38592 and find the biggest common factor number .

Step-1: Prime Factorization of 38575

Prime factors of 38575 are 5, 1543. Prime factorization of 38575 in exponential form is:

38575 = 5² × 1543¹

Step-2: 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-3: Factors of 38575

List of positive integer factors of 38575 that divides 38575 without a remainder.

1, 5, 25, 1543, 7715

Step-4: Factors of 38592

List of positive integer factors of 38592 that divides 38575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38575 and 38592. The biggest common factor number is the GCF number.
So the greatest common factor 38575 and 38592 is 1.

Also check out the Least Common Multiple of 38575 and 38592