What is the Greatest Common Factor of 72828 and 72842?

Greatest common factor (GCF) of 72828 and 72842 is 14.

GCF(72828,72842) = 14

We will now calculate the prime factors of 72828 and 72842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72828 and 72842.

How to find the GCF of 72828 and 72842?

We will first find the prime factorization of 72828 and 72842. After we will calculate the factors of 72828 and 72842 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 72842

Prime factors of 72842 are 2, 7, 11, 43. Prime factorization of 72842 in exponential form is:

72842 = 2¹ × 7¹ × 11² × 43¹

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 72842

List of positive integer factors of 72842 that divides 72828 without a remainder.

1, 2, 7, 11, 14, 22, 43, 77, 86, 121, 154, 242, 301, 473, 602, 847, 946, 1694, 3311, 5203, 6622, 10406, 36421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72828 and 72842. The biggest common factor number is the GCF number.
So the greatest common factor 72828 and 72842 is 14.

Also check out the Least Common Multiple of 72828 and 72842