What is the Greatest Common Factor of 24832 and 24836?

Greatest common factor (GCF) of 24832 and 24836 is 4.

GCF(24832,24836) = 4

We will now calculate the prime factors of 24832 and 24836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24832 and 24836.

How to find the GCF of 24832 and 24836?

We will first find the prime factorization of 24832 and 24836. After we will calculate the factors of 24832 and 24836 and find the biggest common factor number .

Step-1: Prime Factorization of 24832

Prime factors of 24832 are 2, 97. Prime factorization of 24832 in exponential form is:

24832 = 2⁸ × 97¹

Step-2: Prime Factorization of 24836

Prime factors of 24836 are 2, 7, 887. Prime factorization of 24836 in exponential form is:

24836 = 2² × 7¹ × 887¹

Step-3: Factors of 24832

List of positive integer factors of 24832 that divides 24832 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 256, 388, 776, 1552, 3104, 6208, 12416

Step-4: Factors of 24836

List of positive integer factors of 24836 that divides 24832 without a remainder.

1, 2, 4, 7, 14, 28, 887, 1774, 3548, 6209, 12418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24832 and 24836. The biggest common factor number is the GCF number.
So the greatest common factor 24832 and 24836 is 4.

Also check out the Least Common Multiple of 24832 and 24836