What is the Greatest Common Factor of 32589 and 32604?

Greatest common factor (GCF) of 32589 and 32604 is 3.

GCF(32589,32604) = 3

We will now calculate the prime factors of 32589 and 32604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32589 and 32604.

How to find the GCF of 32589 and 32604?

We will first find the prime factorization of 32589 and 32604. After we will calculate the factors of 32589 and 32604 and find the biggest common factor number .

Step-1: Prime Factorization of 32589

Prime factors of 32589 are 3, 17, 71. Prime factorization of 32589 in exponential form is:

32589 = 3³ × 17¹ × 71¹

Step-2: Prime Factorization of 32604

Prime factors of 32604 are 2, 3, 11, 13, 19. Prime factorization of 32604 in exponential form is:

32604 = 2² × 3¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 32589

List of positive integer factors of 32589 that divides 32589 without a remainder.

1, 3, 9, 17, 27, 51, 71, 153, 213, 459, 639, 1207, 1917, 3621, 10863

Step-4: Factors of 32604

List of positive integer factors of 32604 that divides 32589 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 19, 22, 26, 33, 38, 39, 44, 52, 57, 66, 76, 78, 114, 132, 143, 156, 209, 228, 247, 286, 418, 429, 494, 572, 627, 741, 836, 858, 988, 1254, 1482, 1716, 2508, 2717, 2964, 5434, 8151, 10868, 16302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32589 and 32604. The biggest common factor number is the GCF number.
So the greatest common factor 32589 and 32604 is 3.

Also check out the Least Common Multiple of 32589 and 32604