What is the Greatest Common Factor of 32604 and 32621?

Greatest common factor (GCF) of 32604 and 32621 is 1.

GCF(32604,32621) = 1

We will now calculate the prime factors of 32604 and 32621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32604 and 32621.

How to find the GCF of 32604 and 32621?

We will first find the prime factorization of 32604 and 32621. After we will calculate the factors of 32604 and 32621 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32621

Prime factors of 32621 are 32621. Prime factorization of 32621 in exponential form is:

32621 = 32621¹

Step-3: Factors of 32604

List of positive integer factors of 32604 that divides 32604 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

Step-4: Factors of 32621

List of positive integer factors of 32621 that divides 32604 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32604 and 32621. The biggest common factor number is the GCF number.
So the greatest common factor 32604 and 32621 is 1.

Also check out the Least Common Multiple of 32604 and 32621