What is the Greatest Common Factor of 32604 and 32619?

Greatest common factor (GCF) of 32604 and 32619 is 3.

GCF(32604,32619) = 3

We will now calculate the prime factors of 32604 and 32619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32604 and 32619.

How to find the GCF of 32604 and 32619?

We will first find the prime factorization of 32604 and 32619. After we will calculate the factors of 32604 and 32619 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 32619

Prime factors of 32619 are 3, 83, 131. Prime factorization of 32619 in exponential form is:

32619 = 3¹ × 83¹ × 131¹

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 32619

List of positive integer factors of 32619 that divides 32604 without a remainder.

1, 3, 83, 131, 249, 393, 10873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32604 and 32619. The biggest common factor number is the GCF number.
So the greatest common factor 32604 and 32619 is 3.

Also check out the Least Common Multiple of 32604 and 32619