What is the Greatest Common Factor of 72786 and 72801?

Greatest common factor (GCF) of 72786 and 72801 is 3.

GCF(72786,72801) = 3

We will now calculate the prime factors of 72786 and 72801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72786 and 72801.

How to find the GCF of 72786 and 72801?

We will first find the prime factorization of 72786 and 72801. After we will calculate the factors of 72786 and 72801 and find the biggest common factor number .

Step-1: Prime Factorization of 72786

Prime factors of 72786 are 2, 3, 7, 1733. Prime factorization of 72786 in exponential form is:

72786 = 2¹ × 3¹ × 7¹ × 1733¹

Step-2: Prime Factorization of 72801

Prime factors of 72801 are 3, 8089. Prime factorization of 72801 in exponential form is:

72801 = 3² × 8089¹

Step-3: Factors of 72786

List of positive integer factors of 72786 that divides 72786 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1733, 3466, 5199, 10398, 12131, 24262, 36393

Step-4: Factors of 72801

List of positive integer factors of 72801 that divides 72786 without a remainder.

1, 3, 9, 8089, 24267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72786 and 72801. The biggest common factor number is the GCF number.
So the greatest common factor 72786 and 72801 is 3.

Also check out the Least Common Multiple of 72786 and 72801