What is the Greatest Common Factor of 23842 and 23856?

Greatest common factor (GCF) of 23842 and 23856 is 14.

GCF(23842,23856) = 14

We will now calculate the prime factors of 23842 and 23856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23842 and 23856.

How to find the GCF of 23842 and 23856?

We will first find the prime factorization of 23842 and 23856. After we will calculate the factors of 23842 and 23856 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 23856

Prime factors of 23856 are 2, 3, 7, 71. Prime factorization of 23856 in exponential form is:

23856 = 2⁴ × 3¹ × 7¹ × 71¹

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 23856

List of positive integer factors of 23856 that divides 23842 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 71, 84, 112, 142, 168, 213, 284, 336, 426, 497, 568, 852, 994, 1136, 1491, 1704, 1988, 2982, 3408, 3976, 5964, 7952, 11928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23842 and 23856. The biggest common factor number is the GCF number.
So the greatest common factor 23842 and 23856 is 14.

Also check out the Least Common Multiple of 23842 and 23856