What is the Greatest Common Factor of 1600 and 1619?

Greatest common factor (GCF) of 1600 and 1619 is 1.

GCF(1600,1619) = 1

We will now calculate the prime factors of 1600 and 1619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1600 and 1619.

How to find the GCF of 1600 and 1619?

We will first find the prime factorization of 1600 and 1619. After we will calculate the factors of 1600 and 1619 and find the biggest common factor number .

Step-1: Prime Factorization of 1600

Prime factors of 1600 are 2, 5. Prime factorization of 1600 in exponential form is:

1600 = 2⁶ × 5²

Step-2: Prime Factorization of 1619

Prime factors of 1619 are 1619. Prime factorization of 1619 in exponential form is:

1619 = 1619¹

Step-3: Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800

Step-4: Factors of 1619

List of positive integer factors of 1619 that divides 1600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1600 and 1619. The biggest common factor number is the GCF number.
So the greatest common factor 1600 and 1619 is 1.

Also check out the Least Common Multiple of 1600 and 1619