What is the Greatest Common Factor of 1792 and 1810?

Greatest common factor (GCF) of 1792 and 1810 is 2.

GCF(1792,1810) = 2

We will now calculate the prime factors of 1792 and 1810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1792 and 1810.

How to find the GCF of 1792 and 1810?

We will first find the prime factorization of 1792 and 1810. After we will calculate the factors of 1792 and 1810 and find the biggest common factor number .

Step-1: Prime Factorization of 1792

Prime factors of 1792 are 2, 7. Prime factorization of 1792 in exponential form is:

1792 = 2⁸ × 7¹

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 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896

Step-4: Factors of 1810

List of positive integer factors of 1810 that divides 1792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1792 and 1810. The biggest common factor number is the GCF number.
So the greatest common factor 1792 and 1810 is 2.

Also check out the Least Common Multiple of 1792 and 1810