What is the Greatest Common Factor of 23856 and 23870?

Greatest common factor (GCF) of 23856 and 23870 is 14.

GCF(23856,23870) = 14

We will now calculate the prime factors of 23856 and 23870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23856 and 23870.

How to find the GCF of 23856 and 23870?

We will first find the prime factorization of 23856 and 23870. After we will calculate the factors of 23856 and 23870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23870

Prime factors of 23870 are 2, 5, 7, 11, 31. Prime factorization of 23870 in exponential form is:

23870 = 2¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-3: Factors of 23856

List of positive integer factors of 23856 that divides 23856 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

Step-4: Factors of 23870

List of positive integer factors of 23870 that divides 23856 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 31, 35, 55, 62, 70, 77, 110, 154, 155, 217, 310, 341, 385, 434, 682, 770, 1085, 1705, 2170, 2387, 3410, 4774, 11935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23856 and 23870. The biggest common factor number is the GCF number.
So the greatest common factor 23856 and 23870 is 14.

Also check out the Least Common Multiple of 23856 and 23870