What is the Greatest Common Factor of 20587 and 20604?

Greatest common factor (GCF) of 20587 and 20604 is 17.

GCF(20587,20604) = 17

We will now calculate the prime factors of 20587 and 20604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20587 and 20604.

How to find the GCF of 20587 and 20604?

We will first find the prime factorization of 20587 and 20604. After we will calculate the factors of 20587 and 20604 and find the biggest common factor number .

Step-1: Prime Factorization of 20587

Prime factors of 20587 are 7, 17, 173. Prime factorization of 20587 in exponential form is:

20587 = 7¹ × 17¹ × 173¹

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 20587

List of positive integer factors of 20587 that divides 20587 without a remainder.

1, 7, 17, 119, 173, 1211, 2941

Step-4: Factors of 20604

List of positive integer factors of 20604 that divides 20587 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 20587 and 20604. The biggest common factor number is the GCF number.
So the greatest common factor 20587 and 20604 is 17.

Also check out the Least Common Multiple of 20587 and 20604