What is the Greatest Common Factor of 600 and 619?

Greatest common factor (GCF) of 600 and 619 is 1.

GCF(600,619) = 1

We will now calculate the prime factors of 600 and 619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 600 and 619.

How to find the GCF of 600 and 619?

We will first find the prime factorization of 600 and 619. After we will calculate the factors of 600 and 619 and find the biggest common factor number .

Step-1: Prime Factorization of 600

Prime factors of 600 are 2, 3, 5. Prime factorization of 600 in exponential form is:

600 = 2³ × 3¹ × 5²

Step-2: Prime Factorization of 619

Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:

619 = 619¹

Step-3: Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300

Step-4: Factors of 619

List of positive integer factors of 619 that divides 600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 600 and 619. The biggest common factor number is the GCF number.
So the greatest common factor 600 and 619 is 1.

Also check out the Least Common Multiple of 600 and 619