What is the Greatest Common Factor of 20613 and 20619?

Greatest common factor (GCF) of 20613 and 20619 is 3.

GCF(20613,20619) = 3

We will now calculate the prime factors of 20613 and 20619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20613 and 20619.

How to find the GCF of 20613 and 20619?

We will first find the prime factorization of 20613 and 20619. After we will calculate the factors of 20613 and 20619 and find the biggest common factor number .

Step-1: Prime Factorization of 20613

Prime factors of 20613 are 3, 6871. Prime factorization of 20613 in exponential form is:

20613 = 3¹ × 6871¹

Step-2: Prime Factorization of 20619

Prime factors of 20619 are 3, 29, 79. Prime factorization of 20619 in exponential form is:

20619 = 3² × 29¹ × 79¹

Step-3: Factors of 20613

List of positive integer factors of 20613 that divides 20613 without a remainder.

1, 3, 6871

Step-4: Factors of 20619

List of positive integer factors of 20619 that divides 20613 without a remainder.

1, 3, 9, 29, 79, 87, 237, 261, 711, 2291, 6873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20613 and 20619. The biggest common factor number is the GCF number.
So the greatest common factor 20613 and 20619 is 3.

Also check out the Least Common Multiple of 20613 and 20619