What is the Greatest Common Factor of 24828 and 24832?

Greatest common factor (GCF) of 24828 and 24832 is 4.

GCF(24828,24832) = 4

We will now calculate the prime factors of 24828 and 24832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24828 and 24832.

How to find the GCF of 24828 and 24832?

We will first find the prime factorization of 24828 and 24832. After we will calculate the factors of 24828 and 24832 and find the biggest common factor number .

Step-1: Prime Factorization of 24828

Prime factors of 24828 are 2, 3, 2069. Prime factorization of 24828 in exponential form is:

24828 = 2² × 3¹ × 2069¹

Step-2: Prime Factorization of 24832

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

24832 = 2⁸ × 97¹

Step-3: Factors of 24828

List of positive integer factors of 24828 that divides 24828 without a remainder.

1, 2, 3, 4, 6, 12, 2069, 4138, 6207, 8276, 12414

Step-4: Factors of 24832

List of positive integer factors of 24832 that divides 24828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24828 and 24832. The biggest common factor number is the GCF number.
So the greatest common factor 24828 and 24832 is 4.

Also check out the Least Common Multiple of 24828 and 24832