What is the Greatest Common Factor of 73491 and 73501?

Greatest common factor (GCF) of 73491 and 73501 is 1.

GCF(73491,73501) = 1

We will now calculate the prime factors of 73491 and 73501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73491 and 73501.

How to find the GCF of 73491 and 73501?

We will first find the prime factorization of 73491 and 73501. After we will calculate the factors of 73491 and 73501 and find the biggest common factor number .

Step-1: Prime Factorization of 73491

Prime factors of 73491 are 3, 11, 17, 131. Prime factorization of 73491 in exponential form is:

73491 = 3¹ × 11¹ × 17¹ × 131¹

Step-2: Prime Factorization of 73501

Prime factors of 73501 are 31, 2371. Prime factorization of 73501 in exponential form is:

73501 = 31¹ × 2371¹

Step-3: Factors of 73491

List of positive integer factors of 73491 that divides 73491 without a remainder.

1, 3, 11, 17, 33, 51, 131, 187, 393, 561, 1441, 2227, 4323, 6681, 24497

Step-4: Factors of 73501

List of positive integer factors of 73501 that divides 73491 without a remainder.

1, 31, 2371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73491 and 73501. The biggest common factor number is the GCF number.
So the greatest common factor 73491 and 73501 is 1.

Also check out the Least Common Multiple of 73491 and 73501