What is the Greatest Common Factor of 73818 and 73829?

Greatest common factor (GCF) of 73818 and 73829 is 1.

GCF(73818,73829) = 1

We will now calculate the prime factors of 73818 and 73829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73818 and 73829.

How to find the GCF of 73818 and 73829?

We will first find the prime factorization of 73818 and 73829. After we will calculate the factors of 73818 and 73829 and find the biggest common factor number .

Step-1: Prime Factorization of 73818

Prime factors of 73818 are 2, 3, 1367. Prime factorization of 73818 in exponential form is:

73818 = 2¹ × 3³ × 1367¹

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 73818

List of positive integer factors of 73818 that divides 73818 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1367, 2734, 4101, 8202, 12303, 24606, 36909

Step-4: Factors of 73829

List of positive integer factors of 73829 that divides 73818 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73818 and 73829. The biggest common factor number is the GCF number.
So the greatest common factor 73818 and 73829 is 1.

Also check out the Least Common Multiple of 73818 and 73829