What is the Greatest Common Factor of 19824 and 19844?

Greatest common factor (GCF) of 19824 and 19844 is 4.

GCF(19824,19844) = 4

We will now calculate the prime factors of 19824 and 19844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19824 and 19844.

How to find the GCF of 19824 and 19844?

We will first find the prime factorization of 19824 and 19844. After we will calculate the factors of 19824 and 19844 and find the biggest common factor number .

Step-1: Prime Factorization of 19824

Prime factors of 19824 are 2, 3, 7, 59. Prime factorization of 19824 in exponential form is:

19824 = 2⁴ × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 19844

Prime factors of 19844 are 2, 11, 41. Prime factorization of 19844 in exponential form is:

19844 = 2² × 11² × 41¹

Step-3: Factors of 19824

List of positive integer factors of 19824 that divides 19824 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 59, 84, 112, 118, 168, 177, 236, 336, 354, 413, 472, 708, 826, 944, 1239, 1416, 1652, 2478, 2832, 3304, 4956, 6608, 9912

Step-4: Factors of 19844

List of positive integer factors of 19844 that divides 19824 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 121, 164, 242, 451, 484, 902, 1804, 4961, 9922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19824 and 19844. The biggest common factor number is the GCF number.
So the greatest common factor 19824 and 19844 is 4.

Also check out the Least Common Multiple of 19824 and 19844