What is the Greatest Common Factor of 1610 and 1618?

Greatest common factor (GCF) of 1610 and 1618 is 2.

GCF(1610,1618) = 2

We will now calculate the prime factors of 1610 and 1618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1610 and 1618.

How to find the GCF of 1610 and 1618?

We will first find the prime factorization of 1610 and 1618. After we will calculate the factors of 1610 and 1618 and find the biggest common factor number .

Step-1: Prime Factorization of 1610

Prime factors of 1610 are 2, 5, 7, 23. Prime factorization of 1610 in exponential form is:

1610 = 2¹ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 1618

Prime factors of 1618 are 2, 809. Prime factorization of 1618 in exponential form is:

1618 = 2¹ × 809¹

Step-3: Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805

Step-4: Factors of 1618

List of positive integer factors of 1618 that divides 1610 without a remainder.

1, 2, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1610 and 1618. The biggest common factor number is the GCF number.
So the greatest common factor 1610 and 1618 is 2.

Also check out the Least Common Multiple of 1610 and 1618