What is the Greatest Common Factor of 32604 and 32623?

Greatest common factor (GCF) of 32604 and 32623 is 19.

GCF(32604,32623) = 19

We will now calculate the prime factors of 32604 and 32623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32604 and 32623.

How to find the GCF of 32604 and 32623?

We will first find the prime factorization of 32604 and 32623. After we will calculate the factors of 32604 and 32623 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 32623

Prime factors of 32623 are 17, 19, 101. Prime factorization of 32623 in exponential form is:

32623 = 17¹ × 19¹ × 101¹

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 32623

List of positive integer factors of 32623 that divides 32604 without a remainder.

1, 17, 19, 101, 323, 1717, 1919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32604 and 32623. The biggest common factor number is the GCF number.
So the greatest common factor 32604 and 32623 is 19.

Also check out the Least Common Multiple of 32604 and 32623