What is the Greatest Common Factor of 73843 and 73854?

Greatest common factor (GCF) of 73843 and 73854 is 11.

GCF(73843,73854) = 11

We will now calculate the prime factors of 73843 and 73854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73843 and 73854.

How to find the GCF of 73843 and 73854?

We will first find the prime factorization of 73843 and 73854. After we will calculate the factors of 73843 and 73854 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 73854

Prime factors of 73854 are 2, 3, 11, 373. Prime factorization of 73854 in exponential form is:

73854 = 2¹ × 3² × 11¹ × 373¹

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 73854

List of positive integer factors of 73854 that divides 73843 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 373, 746, 1119, 2238, 3357, 4103, 6714, 8206, 12309, 24618, 36927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73843 and 73854. The biggest common factor number is the GCF number.
So the greatest common factor 73843 and 73854 is 11.

Also check out the Least Common Multiple of 73843 and 73854