What is the Greatest Common Factor of 23842 and 23851?

Greatest common factor (GCF) of 23842 and 23851 is 1.

GCF(23842,23851) = 1

We will now calculate the prime factors of 23842 and 23851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23842 and 23851.

How to find the GCF of 23842 and 23851?

We will first find the prime factorization of 23842 and 23851. After we will calculate the factors of 23842 and 23851 and find the biggest common factor number .

Step-1: Prime Factorization of 23842

Prime factors of 23842 are 2, 7, 13, 131. Prime factorization of 23842 in exponential form is:

23842 = 2¹ × 7¹ × 13¹ × 131¹

Step-2: Prime Factorization of 23851

Prime factors of 23851 are 17, 23, 61. Prime factorization of 23851 in exponential form is:

23851 = 17¹ × 23¹ × 61¹

Step-3: Factors of 23842

List of positive integer factors of 23842 that divides 23842 without a remainder.

1, 2, 7, 13, 14, 26, 91, 131, 182, 262, 917, 1703, 1834, 3406, 11921

Step-4: Factors of 23851

List of positive integer factors of 23851 that divides 23842 without a remainder.

1, 17, 23, 61, 391, 1037, 1403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23842 and 23851. The biggest common factor number is the GCF number.
So the greatest common factor 23842 and 23851 is 1.

Also check out the Least Common Multiple of 23842 and 23851