What is the Greatest Common Factor of 20604 and 20610?

Greatest common factor (GCF) of 20604 and 20610 is 6.

GCF(20604,20610) = 6

We will now calculate the prime factors of 20604 and 20610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20604 and 20610.

How to find the GCF of 20604 and 20610?

We will first find the prime factorization of 20604 and 20610. After we will calculate the factors of 20604 and 20610 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 20610

Prime factors of 20610 are 2, 3, 5, 229. Prime factorization of 20610 in exponential form is:

20610 = 2¹ × 3² × 5¹ × 229¹

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 20610

List of positive integer factors of 20610 that divides 20604 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 229, 458, 687, 1145, 1374, 2061, 2290, 3435, 4122, 6870, 10305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20604 and 20610. The biggest common factor number is the GCF number.
So the greatest common factor 20604 and 20610 is 6.

Also check out the Least Common Multiple of 20604 and 20610