What is the Greatest Common Factor of 72829 and 72833?

Greatest common factor (GCF) of 72829 and 72833 is 1.

GCF(72829,72833) = 1

We will now calculate the prime factors of 72829 and 72833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72829 and 72833.

How to find the GCF of 72829 and 72833?

We will first find the prime factorization of 72829 and 72833. After we will calculate the factors of 72829 and 72833 and find the biggest common factor number .

Step-1: Prime Factorization of 72829

Prime factors of 72829 are 67, 1087. Prime factorization of 72829 in exponential form is:

72829 = 67¹ × 1087¹

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 72829

List of positive integer factors of 72829 that divides 72829 without a remainder.

1, 67, 1087

Step-4: Factors of 72833

List of positive integer factors of 72833 that divides 72829 without a remainder.

1, 173, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72829 and 72833. The biggest common factor number is the GCF number.
So the greatest common factor 72829 and 72833 is 1.

Also check out the Least Common Multiple of 72829 and 72833