What is the Greatest Common Factor of 72820 and 72828?

Greatest common factor (GCF) of 72820 and 72828 is 4.

GCF(72820,72828) = 4

We will now calculate the prime factors of 72820 and 72828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72820 and 72828.

How to find the GCF of 72820 and 72828?

We will first find the prime factorization of 72820 and 72828. After we will calculate the factors of 72820 and 72828 and find the biggest common factor number .

Step-1: Prime Factorization of 72820

Prime factors of 72820 are 2, 5, 11, 331. Prime factorization of 72820 in exponential form is:

72820 = 2² × 5¹ × 11¹ × 331¹

Step-2: 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-3: Factors of 72820

List of positive integer factors of 72820 that divides 72820 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 331, 662, 1324, 1655, 3310, 3641, 6620, 7282, 14564, 18205, 36410

Step-4: Factors of 72828

List of positive integer factors of 72828 that divides 72820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72820 and 72828. The biggest common factor number is the GCF number.
So the greatest common factor 72820 and 72828 is 4.

Also check out the Least Common Multiple of 72820 and 72828