What is the Greatest Common Factor of 20586 and 20604?

Greatest common factor (GCF) of 20586 and 20604 is 6.

GCF(20586,20604) = 6

We will now calculate the prime factors of 20586 and 20604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20586 and 20604.

How to find the GCF of 20586 and 20604?

We will first find the prime factorization of 20586 and 20604. After we will calculate the factors of 20586 and 20604 and find the biggest common factor number .

Step-1: Prime Factorization of 20586

Prime factors of 20586 are 2, 3, 47, 73. Prime factorization of 20586 in exponential form is:

20586 = 2¹ × 3¹ × 47¹ × 73¹

Step-2: 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-3: Factors of 20586

List of positive integer factors of 20586 that divides 20586 without a remainder.

1, 2, 3, 6, 47, 73, 94, 141, 146, 219, 282, 438, 3431, 6862, 10293

Step-4: Factors of 20604

List of positive integer factors of 20604 that divides 20586 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20586 and 20604. The biggest common factor number is the GCF number.
So the greatest common factor 20586 and 20604 is 6.

Also check out the Least Common Multiple of 20586 and 20604