What is the Greatest Common Factor of 72828 and 72832?

Greatest common factor (GCF) of 72828 and 72832 is 4.

GCF(72828,72832) = 4

We will now calculate the prime factors of 72828 and 72832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72828 and 72832.

How to find the GCF of 72828 and 72832?

We will first find the prime factorization of 72828 and 72832. After we will calculate the factors of 72828 and 72832 and find the biggest common factor number .

Step-1: Prime Factorization of 72828

Prime factors of 72828 are 2, 3, 7, 17. Prime factorization of 72828 in exponential form is:

72828 = 2² × 3² × 7¹ × 17²

Step-2: Prime Factorization of 72832

Prime factors of 72832 are 2, 569. Prime factorization of 72832 in exponential form is:

72832 = 2⁷ × 569¹

Step-3: Factors of 72828

List of positive integer factors of 72828 that divides 72828 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 289, 306, 357, 476, 578, 612, 714, 867, 1071, 1156, 1428, 1734, 2023, 2142, 2601, 3468, 4046, 4284, 5202, 6069, 8092, 10404, 12138, 18207, 24276, 36414

Step-4: Factors of 72832

List of positive integer factors of 72832 that divides 72828 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 569, 1138, 2276, 4552, 9104, 18208, 36416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72828 and 72832. The biggest common factor number is the GCF number.
So the greatest common factor 72828 and 72832 is 4.

Also check out the Least Common Multiple of 72828 and 72832