What is the Greatest Common Factor of 20575 and 20587?

Greatest common factor (GCF) of 20575 and 20587 is 1.

GCF(20575,20587) = 1

We will now calculate the prime factors of 20575 and 20587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20575 and 20587.

How to find the GCF of 20575 and 20587?

We will first find the prime factorization of 20575 and 20587. After we will calculate the factors of 20575 and 20587 and find the biggest common factor number .

Step-1: Prime Factorization of 20575

Prime factors of 20575 are 5, 823. Prime factorization of 20575 in exponential form is:

20575 = 5² × 823¹

Step-2: 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-3: Factors of 20575

List of positive integer factors of 20575 that divides 20575 without a remainder.

1, 5, 25, 823, 4115

Step-4: Factors of 20587

List of positive integer factors of 20587 that divides 20575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20575 and 20587. The biggest common factor number is the GCF number.
So the greatest common factor 20575 and 20587 is 1.

Also check out the Least Common Multiple of 20575 and 20587