What is the Greatest Common Factor of 19824 and 19832?

Greatest common factor (GCF) of 19824 and 19832 is 8.

GCF(19824,19832) = 8

We will now calculate the prime factors of 19824 and 19832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19824 and 19832.

How to find the GCF of 19824 and 19832?

We will first find the prime factorization of 19824 and 19832. After we will calculate the factors of 19824 and 19832 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 19832

Prime factors of 19832 are 2, 37, 67. Prime factorization of 19832 in exponential form is:

19832 = 2³ × 37¹ × 67¹

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 19832

List of positive integer factors of 19832 that divides 19824 without a remainder.

1, 2, 4, 8, 37, 67, 74, 134, 148, 268, 296, 536, 2479, 4958, 9916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19824 and 19832. The biggest common factor number is the GCF number.
So the greatest common factor 19824 and 19832 is 8.

Also check out the Least Common Multiple of 19824 and 19832