What is the Greatest Common Factor of 73843 and 73863?

Greatest common factor (GCF) of 73843 and 73863 is 1.

GCF(73843,73863) = 1

We will now calculate the prime factors of 73843 and 73863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73843 and 73863.

How to find the GCF of 73843 and 73863?

We will first find the prime factorization of 73843 and 73863. After we will calculate the factors of 73843 and 73863 and find the biggest common factor number .

Step-1: Prime Factorization of 73843

Prime factors of 73843 are 7, 11, 137. Prime factorization of 73843 in exponential form is:

73843 = 7² × 11¹ × 137¹

Step-2: Prime Factorization of 73863

Prime factors of 73863 are 3, 29, 283. Prime factorization of 73863 in exponential form is:

73863 = 3² × 29¹ × 283¹

Step-3: Factors of 73843

List of positive integer factors of 73843 that divides 73843 without a remainder.

1, 7, 11, 49, 77, 137, 539, 959, 1507, 6713, 10549

Step-4: Factors of 73863

List of positive integer factors of 73863 that divides 73843 without a remainder.

1, 3, 9, 29, 87, 261, 283, 849, 2547, 8207, 24621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73843 and 73863. The biggest common factor number is the GCF number.
So the greatest common factor 73843 and 73863 is 1.

Also check out the Least Common Multiple of 73843 and 73863