What is the Greatest Common Factor of 31824 and 31844?

Greatest common factor (GCF) of 31824 and 31844 is 4.

GCF(31824,31844) = 4

We will now calculate the prime factors of 31824 and 31844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31824 and 31844.

How to find the GCF of 31824 and 31844?

We will first find the prime factorization of 31824 and 31844. After we will calculate the factors of 31824 and 31844 and find the biggest common factor number .

Step-1: Prime Factorization of 31824

Prime factors of 31824 are 2, 3, 13, 17. Prime factorization of 31824 in exponential form is:

31824 = 2⁴ × 3² × 13¹ × 17¹

Step-2: Prime Factorization of 31844

Prime factors of 31844 are 2, 19, 419. Prime factorization of 31844 in exponential form is:

31844 = 2² × 19¹ × 419¹

Step-3: Factors of 31824

List of positive integer factors of 31824 that divides 31824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 17, 18, 24, 26, 34, 36, 39, 48, 51, 52, 68, 72, 78, 102, 104, 117, 136, 144, 153, 156, 204, 208, 221, 234, 272, 306, 312, 408, 442, 468, 612, 624, 663, 816, 884, 936, 1224, 1326, 1768, 1872, 1989, 2448, 2652, 3536, 3978, 5304, 7956, 10608, 15912

Step-4: Factors of 31844

List of positive integer factors of 31844 that divides 31824 without a remainder.

1, 2, 4, 19, 38, 76, 419, 838, 1676, 7961, 15922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31824 and 31844. The biggest common factor number is the GCF number.
So the greatest common factor 31824 and 31844 is 4.

Also check out the Least Common Multiple of 31824 and 31844