What is the Greatest Common Factor of 11844 and 11851?

Greatest common factor (GCF) of 11844 and 11851 is 7.

GCF(11844,11851) = 7

We will now calculate the prime factors of 11844 and 11851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11844 and 11851.

How to find the GCF of 11844 and 11851?

We will first find the prime factorization of 11844 and 11851. After we will calculate the factors of 11844 and 11851 and find the biggest common factor number .

Step-1: Prime Factorization of 11844

Prime factors of 11844 are 2, 3, 7, 47. Prime factorization of 11844 in exponential form is:

11844 = 2² × 3² × 7¹ × 47¹

Step-2: Prime Factorization of 11851

Prime factors of 11851 are 7, 1693. Prime factorization of 11851 in exponential form is:

11851 = 7¹ × 1693¹

Step-3: Factors of 11844

List of positive integer factors of 11844 that divides 11844 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 63, 84, 94, 126, 141, 188, 252, 282, 329, 423, 564, 658, 846, 987, 1316, 1692, 1974, 2961, 3948, 5922

Step-4: Factors of 11851

List of positive integer factors of 11851 that divides 11844 without a remainder.

1, 7, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11844 and 11851. The biggest common factor number is the GCF number.
So the greatest common factor 11844 and 11851 is 7.

Also check out the Least Common Multiple of 11844 and 11851