What is the Greatest Common Factor of 20598 and 20607?

Greatest common factor (GCF) of 20598 and 20607 is 3.

GCF(20598,20607) = 3

We will now calculate the prime factors of 20598 and 20607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20598 and 20607.

How to find the GCF of 20598 and 20607?

We will first find the prime factorization of 20598 and 20607. After we will calculate the factors of 20598 and 20607 and find the biggest common factor number .

Step-1: Prime Factorization of 20598

Prime factors of 20598 are 2, 3, 3433. Prime factorization of 20598 in exponential form is:

20598 = 2¹ × 3¹ × 3433¹

Step-2: Prime Factorization of 20607

Prime factors of 20607 are 3, 6869. Prime factorization of 20607 in exponential form is:

20607 = 3¹ × 6869¹

Step-3: Factors of 20598

List of positive integer factors of 20598 that divides 20598 without a remainder.

1, 2, 3, 6, 3433, 6866, 10299

Step-4: Factors of 20607

List of positive integer factors of 20607 that divides 20598 without a remainder.

1, 3, 6869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20598 and 20607. The biggest common factor number is the GCF number.
So the greatest common factor 20598 and 20607 is 3.

Also check out the Least Common Multiple of 20598 and 20607