What is the Greatest Common Factor of 73843 and 73857?

Greatest common factor (GCF) of 73843 and 73857 is 7.

GCF(73843,73857) = 7

We will now calculate the prime factors of 73843 and 73857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73843 and 73857.

How to find the GCF of 73843 and 73857?

We will first find the prime factorization of 73843 and 73857. After we will calculate the factors of 73843 and 73857 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 73857

Prime factors of 73857 are 3, 7, 3517. Prime factorization of 73857 in exponential form is:

73857 = 3¹ × 7¹ × 3517¹

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 73857

List of positive integer factors of 73857 that divides 73843 without a remainder.

1, 3, 7, 21, 3517, 10551, 24619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73843 and 73857. The biggest common factor number is the GCF number.
So the greatest common factor 73843 and 73857 is 7.

Also check out the Least Common Multiple of 73843 and 73857