What is the Greatest Common Factor of 32585 and 32592?

Greatest common factor (GCF) of 32585 and 32592 is 7.

GCF(32585,32592) = 7

We will now calculate the prime factors of 32585 and 32592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32585 and 32592.

How to find the GCF of 32585 and 32592?

We will first find the prime factorization of 32585 and 32592. After we will calculate the factors of 32585 and 32592 and find the biggest common factor number .

Step-1: Prime Factorization of 32585

Prime factors of 32585 are 5, 7, 19. Prime factorization of 32585 in exponential form is:

32585 = 5¹ × 7³ × 19¹

Step-2: Prime Factorization of 32592

Prime factors of 32592 are 2, 3, 7, 97. Prime factorization of 32592 in exponential form is:

32592 = 2⁴ × 3¹ × 7¹ × 97¹

Step-3: Factors of 32585

List of positive integer factors of 32585 that divides 32585 without a remainder.

1, 5, 7, 19, 35, 49, 95, 133, 245, 343, 665, 931, 1715, 4655, 6517

Step-4: Factors of 32592

List of positive integer factors of 32592 that divides 32585 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 97, 112, 168, 194, 291, 336, 388, 582, 679, 776, 1164, 1358, 1552, 2037, 2328, 2716, 4074, 4656, 5432, 8148, 10864, 16296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32585 and 32592. The biggest common factor number is the GCF number.
So the greatest common factor 32585 and 32592 is 7.

Also check out the Least Common Multiple of 32585 and 32592