What is the Greatest Common Factor of 1600 and 1611?

Greatest common factor (GCF) of 1600 and 1611 is 1.

GCF(1600,1611) = 1

We will now calculate the prime factors of 1600 and 1611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1600 and 1611.

How to find the GCF of 1600 and 1611?

We will first find the prime factorization of 1600 and 1611. After we will calculate the factors of 1600 and 1611 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 1611

Prime factors of 1611 are 3, 179. Prime factorization of 1611 in exponential form is:

1611 = 3² × 179¹

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 1611

List of positive integer factors of 1611 that divides 1600 without a remainder.

1, 3, 9, 179, 537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1600 and 1611. The biggest common factor number is the GCF number.
So the greatest common factor 1600 and 1611 is 1.

Also check out the Least Common Multiple of 1600 and 1611