What is the Greatest Common Factor of 1834 and 1848?

Greatest common factor (GCF) of 1834 and 1848 is 14.

GCF(1834,1848) = 14

We will now calculate the prime factors of 1834 and 1848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1834 and 1848.

How to find the GCF of 1834 and 1848?

We will first find the prime factorization of 1834 and 1848. After we will calculate the factors of 1834 and 1848 and find the biggest common factor number .

Step-1: Prime Factorization of 1834

Prime factors of 1834 are 2, 7, 131. Prime factorization of 1834 in exponential form is:

1834 = 2¹ × 7¹ × 131¹

Step-2: Prime Factorization of 1848

Prime factors of 1848 are 2, 3, 7, 11. Prime factorization of 1848 in exponential form is:

1848 = 2³ × 3¹ × 7¹ × 11¹

Step-3: Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1, 2, 7, 14, 131, 262, 917

Step-4: Factors of 1848

List of positive integer factors of 1848 that divides 1834 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1834 and 1848. The biggest common factor number is the GCF number.
So the greatest common factor 1834 and 1848 is 14.

Also check out the Least Common Multiple of 1834 and 1848