What is the Greatest Common Factor of 20558 and 20577?

Greatest common factor (GCF) of 20558 and 20577 is 19.

GCF(20558,20577) = 19

We will now calculate the prime factors of 20558 and 20577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20558 and 20577.

How to find the GCF of 20558 and 20577?

We will first find the prime factorization of 20558 and 20577. After we will calculate the factors of 20558 and 20577 and find the biggest common factor number .

Step-1: Prime Factorization of 20558

Prime factors of 20558 are 2, 19, 541. Prime factorization of 20558 in exponential form is:

20558 = 2¹ × 19¹ × 541¹

Step-2: Prime Factorization of 20577

Prime factors of 20577 are 3, 19. Prime factorization of 20577 in exponential form is:

20577 = 3¹ × 19³

Step-3: Factors of 20558

List of positive integer factors of 20558 that divides 20558 without a remainder.

1, 2, 19, 38, 541, 1082, 10279

Step-4: Factors of 20577

List of positive integer factors of 20577 that divides 20558 without a remainder.

1, 3, 19, 57, 361, 1083, 6859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20558 and 20577. The biggest common factor number is the GCF number.
So the greatest common factor 20558 and 20577 is 19.

Also check out the Least Common Multiple of 20558 and 20577