What is the Greatest Common Factor of 73611 and 73617?

Greatest common factor (GCF) of 73611 and 73617 is 3.

GCF(73611,73617) = 3

We will now calculate the prime factors of 73611 and 73617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73611 and 73617.

How to find the GCF of 73611 and 73617?

We will first find the prime factorization of 73611 and 73617. After we will calculate the factors of 73611 and 73617 and find the biggest common factor number .

Step-1: Prime Factorization of 73611

Prime factors of 73611 are 3, 8179. Prime factorization of 73611 in exponential form is:

73611 = 3² × 8179¹

Step-2: Prime Factorization of 73617

Prime factors of 73617 are 3, 53, 463. Prime factorization of 73617 in exponential form is:

73617 = 3¹ × 53¹ × 463¹

Step-3: Factors of 73611

List of positive integer factors of 73611 that divides 73611 without a remainder.

1, 3, 9, 8179, 24537

Step-4: Factors of 73617

List of positive integer factors of 73617 that divides 73611 without a remainder.

1, 3, 53, 159, 463, 1389, 24539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73611 and 73617. The biggest common factor number is the GCF number.
So the greatest common factor 73611 and 73617 is 3.

Also check out the Least Common Multiple of 73611 and 73617