What is the Greatest Common Factor of 72822 and 72833?

Greatest common factor (GCF) of 72822 and 72833 is 1.

GCF(72822,72833) = 1

We will now calculate the prime factors of 72822 and 72833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72822 and 72833.

How to find the GCF of 72822 and 72833?

We will first find the prime factorization of 72822 and 72833. After we will calculate the factors of 72822 and 72833 and find the biggest common factor number .

Step-1: Prime Factorization of 72822

Prime factors of 72822 are 2, 3, 53, 229. Prime factorization of 72822 in exponential form is:

72822 = 2¹ × 3¹ × 53¹ × 229¹

Step-2: Prime Factorization of 72833

Prime factors of 72833 are 173, 421. Prime factorization of 72833 in exponential form is:

72833 = 173¹ × 421¹

Step-3: Factors of 72822

List of positive integer factors of 72822 that divides 72822 without a remainder.

1, 2, 3, 6, 53, 106, 159, 229, 318, 458, 687, 1374, 12137, 24274, 36411

Step-4: Factors of 72833

List of positive integer factors of 72833 that divides 72822 without a remainder.

1, 173, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72822 and 72833. The biggest common factor number is the GCF number.
So the greatest common factor 72822 and 72833 is 1.

Also check out the Least Common Multiple of 72822 and 72833