What is the Greatest Common Factor of 72786 and 72806?

Greatest common factor (GCF) of 72786 and 72806 is 2.

GCF(72786,72806) = 2

We will now calculate the prime factors of 72786 and 72806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72786 and 72806.

How to find the GCF of 72786 and 72806?

We will first find the prime factorization of 72786 and 72806. After we will calculate the factors of 72786 and 72806 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 72806

Prime factors of 72806 are 2, 59, 617. Prime factorization of 72806 in exponential form is:

72806 = 2¹ × 59¹ × 617¹

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 72806

List of positive integer factors of 72806 that divides 72786 without a remainder.

1, 2, 59, 118, 617, 1234, 36403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72786 and 72806. The biggest common factor number is the GCF number.
So the greatest common factor 72786 and 72806 is 2.

Also check out the Least Common Multiple of 72786 and 72806