What is the Greatest Common Factor of 32604 and 32617?

Greatest common factor (GCF) of 32604 and 32617 is 13.

GCF(32604,32617) = 13

We will now calculate the prime factors of 32604 and 32617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32604 and 32617.

How to find the GCF of 32604 and 32617?

We will first find the prime factorization of 32604 and 32617. After we will calculate the factors of 32604 and 32617 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 32617

Prime factors of 32617 are 13, 193. Prime factorization of 32617 in exponential form is:

32617 = 13² × 193¹

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 32617

List of positive integer factors of 32617 that divides 32604 without a remainder.

1, 13, 169, 193, 2509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32604 and 32617. The biggest common factor number is the GCF number.
So the greatest common factor 32604 and 32617 is 13.

Also check out the Least Common Multiple of 32604 and 32617