What is the Greatest Common Factor of 20588 and 20597?

Greatest common factor (GCF) of 20588 and 20597 is 1.

GCF(20588,20597) = 1

We will now calculate the prime factors of 20588 and 20597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20588 and 20597.

How to find the GCF of 20588 and 20597?

We will first find the prime factorization of 20588 and 20597. After we will calculate the factors of 20588 and 20597 and find the biggest common factor number .

Step-1: Prime Factorization of 20588

Prime factors of 20588 are 2, 5147. Prime factorization of 20588 in exponential form is:

20588 = 2² × 5147¹

Step-2: Prime Factorization of 20597

Prime factors of 20597 are 43, 479. Prime factorization of 20597 in exponential form is:

20597 = 43¹ × 479¹

Step-3: Factors of 20588

List of positive integer factors of 20588 that divides 20588 without a remainder.

1, 2, 4, 5147, 10294

Step-4: Factors of 20597

List of positive integer factors of 20597 that divides 20588 without a remainder.

1, 43, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20588 and 20597. The biggest common factor number is the GCF number.
So the greatest common factor 20588 and 20597 is 1.

Also check out the Least Common Multiple of 20588 and 20597