What is the Greatest Common Factor of 73904 and 73917?

Greatest common factor (GCF) of 73904 and 73917 is 1.

GCF(73904,73917) = 1

We will now calculate the prime factors of 73904 and 73917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73904 and 73917.

How to find the GCF of 73904 and 73917?

We will first find the prime factorization of 73904 and 73917. After we will calculate the factors of 73904 and 73917 and find the biggest common factor number .

Step-1: Prime Factorization of 73904

Prime factors of 73904 are 2, 31, 149. Prime factorization of 73904 in exponential form is:

73904 = 2⁴ × 31¹ × 149¹

Step-2: Prime Factorization of 73917

Prime factors of 73917 are 3, 43, 191. Prime factorization of 73917 in exponential form is:

73917 = 3² × 43¹ × 191¹

Step-3: Factors of 73904

List of positive integer factors of 73904 that divides 73904 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 149, 248, 298, 496, 596, 1192, 2384, 4619, 9238, 18476, 36952

Step-4: Factors of 73917

List of positive integer factors of 73917 that divides 73904 without a remainder.

1, 3, 9, 43, 129, 191, 387, 573, 1719, 8213, 24639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73904 and 73917. The biggest common factor number is the GCF number.
So the greatest common factor 73904 and 73917 is 1.

Also check out the Least Common Multiple of 73904 and 73917