What is the Greatest Common Factor of 72816 and 72821?

Greatest common factor (GCF) of 72816 and 72821 is 1.

GCF(72816,72821) = 1

We will now calculate the prime factors of 72816 and 72821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72816 and 72821.

How to find the GCF of 72816 and 72821?

We will first find the prime factorization of 72816 and 72821. After we will calculate the factors of 72816 and 72821 and find the biggest common factor number .

Step-1: Prime Factorization of 72816

Prime factors of 72816 are 2, 3, 37, 41. Prime factorization of 72816 in exponential form is:

72816 = 2⁴ × 3¹ × 37¹ × 41¹

Step-2: Prime Factorization of 72821

Prime factors of 72821 are 7, 101, 103. Prime factorization of 72821 in exponential form is:

72821 = 7¹ × 101¹ × 103¹

Step-3: Factors of 72816

List of positive integer factors of 72816 that divides 72816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 41, 48, 74, 82, 111, 123, 148, 164, 222, 246, 296, 328, 444, 492, 592, 656, 888, 984, 1517, 1776, 1968, 3034, 4551, 6068, 9102, 12136, 18204, 24272, 36408

Step-4: Factors of 72821

List of positive integer factors of 72821 that divides 72816 without a remainder.

1, 7, 101, 103, 707, 721, 10403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72816 and 72821. The biggest common factor number is the GCF number.
So the greatest common factor 72816 and 72821 is 1.

Also check out the Least Common Multiple of 72816 and 72821