What is the Greatest Common Factor of 73809 and 73829?

Greatest common factor (GCF) of 73809 and 73829 is 1.

GCF(73809,73829) = 1

We will now calculate the prime factors of 73809 and 73829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73809 and 73829.

How to find the GCF of 73809 and 73829?

We will first find the prime factorization of 73809 and 73829. After we will calculate the factors of 73809 and 73829 and find the biggest common factor number .

Step-1: Prime Factorization of 73809

Prime factors of 73809 are 3, 59, 139. Prime factorization of 73809 in exponential form is:

73809 = 3² × 59¹ × 139¹

Step-2: Prime Factorization of 73829

Prime factors of 73829 are 7, 53, 199. Prime factorization of 73829 in exponential form is:

73829 = 7¹ × 53¹ × 199¹

Step-3: Factors of 73809

List of positive integer factors of 73809 that divides 73809 without a remainder.

1, 3, 9, 59, 139, 177, 417, 531, 1251, 8201, 24603

Step-4: Factors of 73829

List of positive integer factors of 73829 that divides 73809 without a remainder.

1, 7, 53, 199, 371, 1393, 10547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73809 and 73829. The biggest common factor number is the GCF number.
So the greatest common factor 73809 and 73829 is 1.

Also check out the Least Common Multiple of 73809 and 73829