What is the Greatest Common Factor of 20604 and 20616?

Greatest common factor (GCF) of 20604 and 20616 is 12.

GCF(20604,20616) = 12

We will now calculate the prime factors of 20604 and 20616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20604 and 20616.

How to find the GCF of 20604 and 20616?

We will first find the prime factorization of 20604 and 20616. After we will calculate the factors of 20604 and 20616 and find the biggest common factor number .

Step-1: Prime Factorization of 20604

Prime factors of 20604 are 2, 3, 17, 101. Prime factorization of 20604 in exponential form is:

20604 = 2² × 3¹ × 17¹ × 101¹

Step-2: Prime Factorization of 20616

Prime factors of 20616 are 2, 3, 859. Prime factorization of 20616 in exponential form is:

20616 = 2³ × 3¹ × 859¹

Step-3: Factors of 20604

List of positive integer factors of 20604 that divides 20604 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 101, 102, 202, 204, 303, 404, 606, 1212, 1717, 3434, 5151, 6868, 10302

Step-4: Factors of 20616

List of positive integer factors of 20616 that divides 20604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 859, 1718, 2577, 3436, 5154, 6872, 10308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20604 and 20616. The biggest common factor number is the GCF number.
So the greatest common factor 20604 and 20616 is 12.

Also check out the Least Common Multiple of 20604 and 20616