What is the Greatest Common Factor of 38592 and 38597?

Greatest common factor (GCF) of 38592 and 38597 is 1.

GCF(38592,38597) = 1

We will now calculate the prime factors of 38592 and 38597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38592 and 38597.

How to find the GCF of 38592 and 38597?

We will first find the prime factorization of 38592 and 38597. After we will calculate the factors of 38592 and 38597 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 38597

Prime factors of 38597 are 13, 2969. Prime factorization of 38597 in exponential form is:

38597 = 13¹ × 2969¹

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 38597

List of positive integer factors of 38597 that divides 38592 without a remainder.

1, 13, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38592 and 38597. The biggest common factor number is the GCF number.
So the greatest common factor 38592 and 38597 is 1.

Also check out the Least Common Multiple of 38592 and 38597