What is the Greatest Common Factor of 1802 and 1810?

Greatest common factor (GCF) of 1802 and 1810 is 2.

GCF(1802,1810) = 2

We will now calculate the prime factors of 1802 and 1810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1802 and 1810.

How to find the GCF of 1802 and 1810?

We will first find the prime factorization of 1802 and 1810. After we will calculate the factors of 1802 and 1810 and find the biggest common factor number .

Step-1: Prime Factorization of 1802

Prime factors of 1802 are 2, 17, 53. Prime factorization of 1802 in exponential form is:

1802 = 2¹ × 17¹ × 53¹

Step-2: Prime Factorization of 1810

Prime factors of 1810 are 2, 5, 181. Prime factorization of 1810 in exponential form is:

1810 = 2¹ × 5¹ × 181¹

Step-3: Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1, 2, 17, 34, 53, 106, 901

Step-4: Factors of 1810

List of positive integer factors of 1810 that divides 1802 without a remainder.

1, 2, 5, 10, 181, 362, 905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1802 and 1810. The biggest common factor number is the GCF number.
So the greatest common factor 1802 and 1810 is 2.

Also check out the Least Common Multiple of 1802 and 1810