What is the Greatest Common Factor of 73686 and 73701?

Greatest common factor (GCF) of 73686 and 73701 is 3.

GCF(73686,73701) = 3

We will now calculate the prime factors of 73686 and 73701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73686 and 73701.

How to find the GCF of 73686 and 73701?

We will first find the prime factorization of 73686 and 73701. After we will calculate the factors of 73686 and 73701 and find the biggest common factor number .

Step-1: Prime Factorization of 73686

Prime factors of 73686 are 2, 3, 12281. Prime factorization of 73686 in exponential form is:

73686 = 2¹ × 3¹ × 12281¹

Step-2: Prime Factorization of 73701

Prime factors of 73701 are 3, 19, 431. Prime factorization of 73701 in exponential form is:

73701 = 3² × 19¹ × 431¹

Step-3: Factors of 73686

List of positive integer factors of 73686 that divides 73686 without a remainder.

1, 2, 3, 6, 12281, 24562, 36843

Step-4: Factors of 73701

List of positive integer factors of 73701 that divides 73686 without a remainder.

1, 3, 9, 19, 57, 171, 431, 1293, 3879, 8189, 24567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73686 and 73701. The biggest common factor number is the GCF number.
So the greatest common factor 73686 and 73701 is 3.

Also check out the Least Common Multiple of 73686 and 73701