What is the Greatest Common Factor of 1848 and 1862?

Greatest common factor (GCF) of 1848 and 1862 is 14.

GCF(1848,1862) = 14

We will now calculate the prime factors of 1848 and 1862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1848 and 1862.

How to find the GCF of 1848 and 1862?

We will first find the prime factorization of 1848 and 1862. After we will calculate the factors of 1848 and 1862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1862

Prime factors of 1862 are 2, 7, 19. Prime factorization of 1862 in exponential form is:

1862 = 2¹ × 7² × 19¹

Step-3: Factors of 1848

List of positive integer factors of 1848 that divides 1848 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

Step-4: Factors of 1862

List of positive integer factors of 1862 that divides 1848 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1848 and 1862. The biggest common factor number is the GCF number.
So the greatest common factor 1848 and 1862 is 14.

Also check out the Least Common Multiple of 1848 and 1862