What is the Greatest Common Factor of 20604 and 20613?

Greatest common factor (GCF) of 20604 and 20613 is 3.

GCF(20604,20613) = 3

We will now calculate the prime factors of 20604 and 20613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20604 and 20613.

How to find the GCF of 20604 and 20613?

We will first find the prime factorization of 20604 and 20613. After we will calculate the factors of 20604 and 20613 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 20613

Prime factors of 20613 are 3, 6871. Prime factorization of 20613 in exponential form is:

20613 = 3¹ × 6871¹

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 20613

List of positive integer factors of 20613 that divides 20604 without a remainder.

1, 3, 6871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20604 and 20613. The biggest common factor number is the GCF number.
So the greatest common factor 20604 and 20613 is 3.

Also check out the Least Common Multiple of 20604 and 20613