What is the Greatest Common Factor of 78723 and 78730?

Greatest common factor (GCF) of 78723 and 78730 is 1.

GCF(78723,78730) = 1

We will now calculate the prime factors of 78723 and 78730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78723 and 78730.

How to find the GCF of 78723 and 78730?

We will first find the prime factorization of 78723 and 78730. After we will calculate the factors of 78723 and 78730 and find the biggest common factor number .

Step-1: Prime Factorization of 78723

Prime factors of 78723 are 3, 8747. Prime factorization of 78723 in exponential form is:

78723 = 3² × 8747¹

Step-2: Prime Factorization of 78730

Prime factors of 78730 are 2, 5, 7873. Prime factorization of 78730 in exponential form is:

78730 = 2¹ × 5¹ × 7873¹

Step-3: Factors of 78723

List of positive integer factors of 78723 that divides 78723 without a remainder.

1, 3, 9, 8747, 26241

Step-4: Factors of 78730

List of positive integer factors of 78730 that divides 78723 without a remainder.

1, 2, 5, 10, 7873, 15746, 39365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78723 and 78730. The biggest common factor number is the GCF number.
So the greatest common factor 78723 and 78730 is 1.

Also check out the Least Common Multiple of 78723 and 78730